Question 1

For the given functions f and g, find the requested function.
-$f ( x ) = x + 2 ; g ( x ) = 3 x + 1 \quad$ Find $( f + g ) ( x )$
A) $( f + g ) ( x ) = 7 x$
B) $( f + g ) ( x ) = 3 x + 3$
C) $( f + g ) ( x ) = 4 x + 3$
D) $( f + g ) ( x ) = 3 x ^ { 2 } + 7 x + 2$

Accepted Answer

To find $(f + g)(x)$, you add the functions $f(x)$ and $g(x)$ together: $f(x) + g(x) = (x + 2) + (3x + 1) = 4x + 3$.

Question 2

For the given functions f and g, find the requested function.
-$f ( x ) = 2 x + 1 ; g ( x ) = 3 x + 9 \quad$ Find $( f \cdot g ) ( x )$
A) $( f \cdot g ) ( x ) = 6 x ^ { 2 } + 9$
B) $( f \cdot g ) ( x ) = 5 x ^ { 2 } + 21 x + 10$
C) $( f \cdot g ) ( x ) = 6 x ^ { 2 } + 12 x + 9$
D) $( f \cdot g ) ( x ) = 6 x ^ { 2 } + 21 x + 9$

Accepted Answer

D

Question 3

For the given functions f and g, find the requested function.
-$f ( x ) = x - 5 ; g ( x ) = 8 x ^ { 2 } \quad$ Find $( f - g ) ( x )$
A) $( f - g ) ( x ) = 8 x ^ { 2 } - x + 5$
B) $( f - g ) ( x ) = 8 x ^ { 2 } + x - 5$
C) $( f - g ) ( x ) = - 8 x ^ { 2 } + x - 5$
D) $( f - g ) ( x ) = - 8 x ^ { 2 } - x - 5$

Accepted Answer

The operation $(f - g)(x)$ means to subtract the function $g(x)$ from $f(x)$. So, $(f - g)(x) = (x - 5) - (8x^2) = -8x^2 + x - 5$.

Question 4

For the given functions f and g, find the composition.
-$f ( x ) = \sqrt { x + 5 } ; g ( x ) = 2 x \quad$ Find $( f \circ g ) ( 2 )$.
A) 3
B) $\sqrt { 14 }$
C) $2 \sqrt { 14 }$
D) $2 \sqrt { 7 }$

Accepted Answer

The answer of For the given functions f and g,...

Question 5

For the given functions f and g, find the requested function.
-$f ( x ) = x ^ { 2 } - 3 \sqrt [ 3 ] { x } ; g ( x ) = x - 5 \quad$ Find $\left( \frac { f } { g } \right) ( x )$
A) $\left( \frac { f } { g } \right) ( x ) = x ^ { 3 } - 5 x ^ { 2 } - 3 x \sqrt [ 3 ] { x } + 15 \sqrt [ 3 ] { x }$
B) $\left( \frac { f } { g } \right) ( x ) = \frac { x ^ { 2 } - 3 \sqrt [ 3 ] { x } } { x - 5 }$, where $x \neq 0$
C) $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { \mathrm { x } ^ { 2 } - 3 \sqrt [ 3 ] { \mathrm { x } } } { \mathrm { x } - 5 }$, where $x \neq 5$
D) $\left( \frac { f } { g } \right) ( x ) = \frac { x ^ { 2 } - 3 \sqrt [ 3 ] { x } } { x - 5 }$, where $x \neq - 5$

Accepted Answer

The division of function $f$ by function $g$, denoted as $\left( \frac { f } { g } \right) ( x )$, is simply the function $f(x)$ divided by the function $g(x)$. Therefore, $\left( \frac { f } { g } \right) ( x ) = \frac { x ^ { 2 } - 3 \sqrt [ 3 ] { x } } { x - 5 }$. The condition $x \neq 5$ is necessary because division by zero is undefined, and $g(x) = x - 5$ equals zero when $x = 5$.

Question 6

For the given functions f and g, find the requested function.
-$f ( x ) = \sqrt [ 3 ] { x } ; g ( x ) = 5 x - 12 \quad$ Find $( f - g ) ( x )$
A) $( f - g ) ( x ) = \sqrt [ 3 ] { x } + 5 x + 12$
B) $( f - g ) ( x ) = \sqrt [ 3 ] { x } - 5 x + 12$
C) $( f - g ) ( x ) = \sqrt [ 3 ] { x } - 5 x - 12$
D) $( f - g ) ( x ) = - \sqrt [ 3 ] { x } - 5 x + 12$

Accepted Answer

The function $(f - g)(x)$ is found by subtracting $g(x)$ from $f(x)$, which gives $\sqrt[3]{x} - (5x - 12) = \sqrt[3]{x} - 5x + 12$.

Question 7

For the given functions f and g, find the requested function.
-$f ( x ) = \sqrt { 2 x } ; g ( x ) = - 3 x + 7 \quad$ Find $( f \cdot g ) ( x )$
A) $( f \cdot g ) ( x ) = - 6 x + 7 \sqrt { 2 x }$
B) $( f \cdot g ) ( x ) = - 3 x \sqrt { 2 x } + 7 \sqrt { 2 x }$
C) $( \mathrm { f } \cdot \mathrm { g } ) ( \mathrm { x } ) = - 6 \mathrm { x } ^ { 2 } + 14$
D) $( f \cdot g ) ( x ) = \sqrt { 2 x } + 21 x$

Accepted Answer

The product $(f \cdot g)(x)$ is found by multiplying the functions $f(x) = \sqrt{2x}$ and $g(x) = -3x + 7$ together, which gives $(f \cdot g)(x) = \sqrt{2x} \cdot (-3x + 7) = -3x\sqrt{2x} + 7\sqrt{2x}$.

Question 8

For the given functions f and g, find the composition.
-$f ( x ) = 6 x ^ { 2 } - 2 x ; g ( x ) = - 3 x \quad$ Find $( g \circ f ) ( x )$.
A) $54 x ^ { 2 } - 2 x$
B) $- 18 x ^ { 3 } + 6 x ^ { 2 }$
C) $6 x ^ { 2 } - 4$
D) $- 18 x ^ { 2 } + 6 x$

Accepted Answer

The answer of For the given functions f and g,...

Question 9

For the given functions f and g, find the requested function.
-$f ( x ) = 7 x - 6 ; g ( x ) = 2 x - 4 \quad$ Find $( f - g ) ( x )$.
A) $( f - g ) ( x ) = - 5 x + 2$
B) $( f - g ) ( x ) = 9 x - 10$
C) $( f - g ) ( x ) = 5 x - 2$
D) $( f - g ) ( x ) = 5 x - 10$

Accepted Answer

To find $(f - g)(x)$, subtract $g(x)$ from $f(x)$: $7x - 6 - (2x - 4) = 7x - 6 - 2x + 4 = 5x - 2$.

Question 10

For the given functions f and g, find the composition.
-$f ( x ) = 6 x ^ { 2 } + 4 x ; g ( x ) = 3 x \quad$ Find $( f \circ g ) ( x )$.
A) $18 x ^ { 3 } + 12 x ^ { 2 }$
B) $54 x ^ { 2 } + 12 x$
C) $6 x ^ { 2 } + 7$
D) $18 x ^ { 2 } + 12 x$

Accepted Answer

The answer of For the given functions f and g,...

Question 11

For the given functions f and g, find the requested function.
-$f ( x ) = 8 x ^ { 3 } ; g ( x ) = 3 x ^ { 2 } \quad$ Find $( f \cdot g ) ( x )$.
A) $( \mathrm { f } \cdot \mathrm { g } ) ( \mathrm { x } ) = 24 \mathrm { x } ^ { 5 }$
B) $( \mathrm { f } \cdot \mathrm { g } ) ( \mathrm { x } ) = - 24 \mathrm { x } ^ { 5 }$
C) $( \mathrm { f } \cdot \mathrm { g } ) ( \mathrm { x } ) = - 24 \mathrm { x } ^ { 6 }$
D) $( f \cdot g ) ( x ) = 24 x ^ { 6 }$

Accepted Answer

To find $(f \cdot g)(x)$, multiply $f(x) = 8x^3$ by $g(x) = 3x^2$, resulting in $24x^5$.

Question 12

For the given functions f and g, find the composition.
-$f ( x ) = x ^ { 2 } + 4 x ; g ( x ) = x + 2 \quad$ Find $( g \circ f ) ( 2 )$
A) 14
B) 32
C) 48
D) 16

Accepted Answer

First, find $f(2) = 2^2 + 4(2) = 4 + 8 = 12$. Then, apply $g$ to $f(2)$: $g(f(2)) = g(12) = 12 + 2 = 14$.

Question 13

For the given functions f and g, find the requested function.
-$f ( x ) = \sqrt { x } ; g ( x ) = 4 x - 9 \quad$ Find $\left( \frac { f } { g } \right) ( x )$
A) $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { \sqrt { \mathrm { x } } } { 4 \mathrm { x } - 4 }$, where $x \neq 1$
B) $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { \sqrt { \mathrm { x } } } { 4 \mathrm { x } - 9 }$, where $x \neq \frac { 9 } { 4 }$
C) $\left( \frac { f } { g } \right) ( x ) = \frac { \sqrt { x } } { 9 - 4 x }$, where $x \neq \frac { 9 } { 4 }$
D) $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { 9 - 4 \mathrm { x } } { \sqrt { \mathrm { x } } }$, where $x \neq 0$

Accepted Answer

The division of $f(x)$ by $g(x)$ results in $\frac{\sqrt{x}}{4x-9}$, and $g(x)$ cannot be zero, which happens when $x = \frac{9}{4}$.

Question 14

For the given functions f and g, find the requested function.
-$f ( x ) = - 6 x ^ { 4 } ; g ( x ) = - 2 x ^ { 2 } \quad$ Find $\left( \frac { f } { g } \right) ( x )$.
A) $\left( \frac { f } { g } \right) ( x ) = 12 x ^ { 6 }$, where $x \neq 0$
B) $\left( \frac { f } { g } \right) ( x ) = 3 x ^ { 4 }$, where $x \neq 0$
C) $\left( \frac { f } { g } \right) ( x ) = 3 x ^ { 2 }$, where $x \neq 0$
D) $\left( \frac { f } { g } \right) ( x ) = - 4 x ^ { 2 }$, where $x \neq 0$

Accepted Answer

To find $\left( \frac { f } { g } \right) ( x )$, divide $f(x)$ by $g(x)$: $\frac{-6x^4}{-2x^2} = 3x^2$, where $x \neq 0$ to avoid division by zero.

Question 15

For the given functions f and g, find the composition.
-$f ( x ) = x ^ { 2 } + 4 x ; g ( x ) = x + 2 \quad$ Find $( f \circ g ) ( 4 )$
A) 60
B) 0
C) $4 \sqrt { 3 }$
D) 34

Accepted Answer

The answer of For the given functions f and g,...

Question 16

For the given functions f and g, find the requested function.
-$f ( x ) = 2 x ^ { 3 } - 1 ; g ( x ) = 4 x ^ { 2 } - 1 \quad$ Find $( f \cdot g ) ( x )$.
A) $( f \cdot g ) ( x ) = 2 x ^ { 3 } + 4 x ^ { 2 } + 1$
B) $( f \cdot g ) ( x ) = 8 x ^ { 5 } - 2 x ^ { 3 } - 4 x ^ { 2 } + 1$
C) $( f \cdot g ) ( x ) = 8 x ^ { 6 } - 2 x ^ { 3 } - 4 x ^ { 2 } + 1$
D) $( f \cdot g ) ( x ) = - 8 x ^ { 5 } - 2 x ^ { 3 } - 4 x ^ { 2 } + 1$

Accepted Answer

To find $(f \cdot g)(x)$, you multiply $f(x) = 2x^3 - 1$ by $g(x) = 4x^2 - 1$. Multiplying the polynomials gives $8x^5 - 2x^3 - 4x^2 + 1$.

Question 17

For the given functions f and g, find the composition.
-$f ( x ) = x ^ { 2 } + 3 x ; g ( x ) = \sqrt { x } \quad$ Find $( g \circ f ) ( 6 )$
A) $2 \sqrt { 3 }$
B) $3 \sqrt { 5 }$
C) $\sqrt { 39 }$
D) $3 \sqrt { 6 }$

Accepted Answer

The answer of For the given functions f and g,...

Question 18

For the given functions f and g, find the composition.
-$f ( x ) = 4 x + 5 ; g ( x ) = 2 x - 1 \quad$ Find $( f \circ g ) ( x )$
A) $8 x + 1$
B) $8 x + 9$
C) $8 X + 9$
D) $8 x + 4$

Accepted Answer

The answer of For the given functions f and g,...

Question 19

For the given functions f and g, find the requested function.
-$f ( x ) = 6 x + 1 ; g ( x ) = 3 x - 5 \quad$ Find $\left( \frac { f } { g } \right) ( x )$
A) $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { 3 \mathrm { x } - 5 } { 6 \mathrm { x } + 1 }$, where $x \neq - \frac { 1 } { 6 }$
B) $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { 3 \mathrm { x } + 5 } { 6 \mathrm { x } + 1 }$, where $x \neq - \frac { 1 } { 6 }$
C) $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { 6 \mathrm { x } + 1 } { 3 \mathrm { x } + 5 }$, where $x \neq - \frac { 5 } { 3 }$
D) $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { 6 \mathrm { x } + 1 } { 3 \mathrm { x } - 5 }$, where $x \neq \frac { 5 } { 3 }$

Accepted Answer

The division of two functions $f(x)$ over $g(x)$ is performed by dividing their expressions directly, resulting in $\frac{6x + 1}{3x - 5}$, with the restriction $x \neq \frac{5}{3}$ to avoid division by zero in the denominator.

Question 20

For the given functions f and g, find the composition.
-$f ( x ) = x ^ { 2 } - 6 x + 3 ; g ( x ) = \sqrt { x } \quad$ Find $( f \circ g ) ( 9 )$
A) $- 12$
B) $- 15$
C) $- 6$
D) $- 9$

Accepted Answer

The answer of For the given functions f and g,...

Quiz 12: Exponential and Logarithmic Functions

For the given functions f and g, find the requested function. - $f ( x ) = x + 2 ; g ( x ) = 3 x + 1 \quad$ Find $( f + g ) ( x )$

For the given functions f and g, find the requested function. - $f ( x ) = 2 x + 1 ; g ( x ) = 3 x + 9 \quad$ Find $( f \cdot g ) ( x )$

For the given functions f and g, find the requested function. - $f ( x ) = x - 5 ; g ( x ) = 8 x ^ { 2 } \quad$ Find $( f - g ) ( x )$

For the given functions f and g, find the composition. - $f ( x ) = \sqrt { x + 5 } ; g ( x ) = 2 x \quad$ Find $( f \circ g ) ( 2 )$ .

For the given functions f and g, find the requested function. - $f ( x ) = x ^ { 2 } - 3 \sqrt [ 3 ] { x } ; g ( x ) = x - 5 \quad$ Find $\left( \frac { f } { g } \right) ( x )$

For the given functions f and g, find the requested function. - $f ( x ) = \sqrt [ 3 ] { x } ; g ( x ) = 5 x - 12 \quad$ Find $( f - g ) ( x )$

For the given functions f and g, find the requested function. - $f ( x ) = \sqrt { 2 x } ; g ( x ) = - 3 x + 7 \quad$ Find $( f \cdot g ) ( x )$

For the given functions f and g, find the composition. - $f ( x ) = 6 x ^ { 2 } - 2 x ; g ( x ) = - 3 x \quad$ Find $( g \circ f ) ( x )$ .

For the given functions f and g, find the requested function. - $f ( x ) = 7 x - 6 ; g ( x ) = 2 x - 4 \quad$ Find $( f - g ) ( x )$ .

For the given functions f and g, find the composition. - $f ( x ) = 6 x ^ { 2 } + 4 x ; g ( x ) = 3 x \quad$ Find $( f \circ g ) ( x )$ .

For the given functions f and g, find the requested function. - $f ( x ) = 8 x ^ { 3 } ; g ( x ) = 3 x ^ { 2 } \quad$ Find $( f \cdot g ) ( x )$ .

For the given functions f and g, find the composition. - $f ( x ) = x ^ { 2 } + 4 x ; g ( x ) = x + 2 \quad$ Find $( g \circ f ) ( 2 )$

For the given functions f and g, find the requested function. - $f ( x ) = \sqrt { x } ; g ( x ) = 4 x - 9 \quad$ Find $\left( \frac { f } { g } \right) ( x )$

For the given functions f and g, find the requested function. - $f ( x ) = - 6 x ^ { 4 } ; g ( x ) = - 2 x ^ { 2 } \quad$ Find $\left( \frac { f } { g } \right) ( x )$ .

For the given functions f and g, find the composition. - $f ( x ) = x ^ { 2 } + 4 x ; g ( x ) = x + 2 \quad$ Find $( f \circ g ) ( 4 )$

For the given functions f and g, find the requested function. - $f ( x ) = 2 x ^ { 3 } - 1 ; g ( x ) = 4 x ^ { 2 } - 1 \quad$ Find $( f \cdot g ) ( x )$ .

For the given functions f and g, find the composition. - $f ( x ) = x ^ { 2 } + 3 x ; g ( x ) = \sqrt { x } \quad$ Find $( g \circ f ) ( 6 )$

For the given functions f and g, find the composition. - $f ( x ) = 4 x + 5 ; g ( x ) = 2 x - 1 \quad$ Find $( f \circ g ) ( x )$

For the given functions f and g, find the requested function. - $f ( x ) = 6 x + 1 ; g ( x ) = 3 x - 5 \quad$ Find $\left( \frac { f } { g } \right) ( x )$

For the given functions f and g, find the composition. - $f ( x ) = x ^ { 2 } - 6 x + 3 ; g ( x ) = \sqrt { x } \quad$ Find $( f \circ g ) ( 9 )$

Quiz 12: Exponential and Logarithmic Functions

For the given functions f and g, find the requested function. - f(x) =x+2;g(x) =3x+1f ( x ) = x + 2 ; g ( x ) = 3 x + 1 \quadf(x) =x+2;g(x) =3x+1 Find (f+g) (x) ( f + g ) ( x ) (f+g) (x)

For the given functions f and g, find the requested function. - f(x) =2x+1;g(x) =3x+9f ( x ) = 2 x + 1 ; g ( x ) = 3 x + 9 \quadf(x) =2x+1;g(x) =3x+9 Find (f⋅g) (x) ( f \cdot g ) ( x ) (f⋅g) (x)

For the given functions f and g, find the requested function. - f(x) =x−5;g(x) =8x2f ( x ) = x - 5 ; g ( x ) = 8 x ^ { 2 } \quadf(x) =x−5;g(x) =8x2 Find (f−g) (x) ( f - g ) ( x ) (f−g) (x)

For the given functions f and g, find the composition. - f(x) =x+5;g(x) =2xf ( x ) = \sqrt { x + 5 } ; g ( x ) = 2 x \quadf(x) =x+5​;g(x) =2x Find (f∘g) (2) ( f \circ g ) ( 2 ) (f∘g) (2) .

For the given functions f and g, find the requested function. - f(x) =x2−3x3;g(x) =x−5f ( x ) = x ^ { 2 } - 3 \sqrt [ 3 ] { x } ; g ( x ) = x - 5 \quadf(x) =x2−33x​;g(x) =x−5 Find (fg) (x) \left( \frac { f } { g } \right) ( x ) (gf​) (x)

For the given functions f and g, find the requested function. - f(x) =x3;g(x) =5x−12f ( x ) = \sqrt [ 3 ] { x } ; g ( x ) = 5 x - 12 \quadf(x) =3x​;g(x) =5x−12 Find (f−g) (x) ( f - g ) ( x ) (f−g) (x)

For the given functions f and g, find the requested function. - f(x) =2x;g(x) =−3x+7f ( x ) = \sqrt { 2 x } ; g ( x ) = - 3 x + 7 \quadf(x) =2x​;g(x) =−3x+7 Find (f⋅g) (x) ( f \cdot g ) ( x ) (f⋅g) (x)

For the given functions f and g, find the composition. - f(x) =6x2−2x;g(x) =−3xf ( x ) = 6 x ^ { 2 } - 2 x ; g ( x ) = - 3 x \quadf(x) =6x2−2x;g(x) =−3x Find (g∘f) (x) ( g \circ f ) ( x ) (g∘f) (x) .

For the given functions f and g, find the requested function. - f(x) =7x−6;g(x) =2x−4f ( x ) = 7 x - 6 ; g ( x ) = 2 x - 4 \quadf(x) =7x−6;g(x) =2x−4 Find (f−g) (x) ( f - g ) ( x ) (f−g) (x) .

For the given functions f and g, find the composition. - f(x) =6x2+4x;g(x) =3xf ( x ) = 6 x ^ { 2 } + 4 x ; g ( x ) = 3 x \quadf(x) =6x2+4x;g(x) =3x Find (f∘g) (x) ( f \circ g ) ( x ) (f∘g) (x) .

For the given functions f and g, find the requested function. - f(x) =8x3;g(x) =3x2f ( x ) = 8 x ^ { 3 } ; g ( x ) = 3 x ^ { 2 } \quadf(x) =8x3;g(x) =3x2 Find (f⋅g) (x) ( f \cdot g ) ( x ) (f⋅g) (x) .

For the given functions f and g, find the composition. - f(x) =x2+4x;g(x) =x+2f ( x ) = x ^ { 2 } + 4 x ; g ( x ) = x + 2 \quadf(x) =x2+4x;g(x) =x+2 Find (g∘f) (2) ( g \circ f ) ( 2 ) (g∘f) (2)

For the given functions f and g, find the requested function. - f(x) =x;g(x) =4x−9f ( x ) = \sqrt { x } ; g ( x ) = 4 x - 9 \quadf(x) =x​;g(x) =4x−9 Find (fg) (x) \left( \frac { f } { g } \right) ( x ) (gf​) (x)

For the given functions f and g, find the requested function. - f(x) =−6x4;g(x) =−2x2f ( x ) = - 6 x ^ { 4 } ; g ( x ) = - 2 x ^ { 2 } \quadf(x) =−6x4;g(x) =−2x2 Find (fg) (x) \left( \frac { f } { g } \right) ( x ) (gf​) (x) .

For the given functions f and g, find the composition. - f(x) =x2+4x;g(x) =x+2f ( x ) = x ^ { 2 } + 4 x ; g ( x ) = x + 2 \quadf(x) =x2+4x;g(x) =x+2 Find (f∘g) (4) ( f \circ g ) ( 4 ) (f∘g) (4)

For the given functions f and g, find the requested function. - f(x) =2x3−1;g(x) =4x2−1f ( x ) = 2 x ^ { 3 } - 1 ; g ( x ) = 4 x ^ { 2 } - 1 \quadf(x) =2x3−1;g(x) =4x2−1 Find (f⋅g) (x) ( f \cdot g ) ( x ) (f⋅g) (x) .

For the given functions f and g, find the composition. - f(x) =x2+3x;g(x) =xf ( x ) = x ^ { 2 } + 3 x ; g ( x ) = \sqrt { x } \quadf(x) =x2+3x;g(x) =x​ Find (g∘f) (6) ( g \circ f ) ( 6 ) (g∘f) (6)

For the given functions f and g, find the composition. - f(x) =4x+5;g(x) =2x−1f ( x ) = 4 x + 5 ; g ( x ) = 2 x - 1 \quadf(x) =4x+5;g(x) =2x−1 Find (f∘g) (x) ( f \circ g ) ( x ) (f∘g) (x)

For the given functions f and g, find the requested function. - f(x) =6x+1;g(x) =3x−5f ( x ) = 6 x + 1 ; g ( x ) = 3 x - 5 \quadf(x) =6x+1;g(x) =3x−5 Find (fg) (x) \left( \frac { f } { g } \right) ( x ) (gf​) (x)

For the given functions f and g, find the composition. - f(x) =x2−6x+3;g(x) =xf ( x ) = x ^ { 2 } - 6 x + 3 ; g ( x ) = \sqrt { x } \quadf(x) =x2−6x+3;g(x) =x​ Find (f∘g) (9) ( f \circ g ) ( 9 ) (f∘g) (9)

For the given functions f and g, find the requested function. - $f ( x ) = x + 2 ; g ( x ) = 3 x + 1 \quad$ Find $( f + g ) ( x )$

For the given functions f and g, find the requested function. - $f ( x ) = 2 x + 1 ; g ( x ) = 3 x + 9 \quad$ Find $( f \cdot g ) ( x )$

For the given functions f and g, find the requested function. - $f ( x ) = x - 5 ; g ( x ) = 8 x ^ { 2 } \quad$ Find $( f - g ) ( x )$

For the given functions f and g, find the composition. - $f ( x ) = \sqrt { x + 5 } ; g ( x ) = 2 x \quad$ Find $( f \circ g ) ( 2 )$ .

For the given functions f and g, find the requested function. - $f ( x ) = x ^ { 2 } - 3 \sqrt [ 3 ] { x } ; g ( x ) = x - 5 \quad$ Find $\left( \frac { f } { g } \right) ( x )$

For the given functions f and g, find the requested function. - $f ( x ) = \sqrt [ 3 ] { x } ; g ( x ) = 5 x - 12 \quad$ Find $( f - g ) ( x )$

For the given functions f and g, find the requested function. - $f ( x ) = \sqrt { 2 x } ; g ( x ) = - 3 x + 7 \quad$ Find $( f \cdot g ) ( x )$

For the given functions f and g, find the composition. - $f ( x ) = 6 x ^ { 2 } - 2 x ; g ( x ) = - 3 x \quad$ Find $( g \circ f ) ( x )$ .

For the given functions f and g, find the requested function. - $f ( x ) = 7 x - 6 ; g ( x ) = 2 x - 4 \quad$ Find $( f - g ) ( x )$ .

For the given functions f and g, find the composition. - $f ( x ) = 6 x ^ { 2 } + 4 x ; g ( x ) = 3 x \quad$ Find $( f \circ g ) ( x )$ .

For the given functions f and g, find the requested function. - $f ( x ) = 8 x ^ { 3 } ; g ( x ) = 3 x ^ { 2 } \quad$ Find $( f \cdot g ) ( x )$ .

For the given functions f and g, find the composition. - $f ( x ) = x ^ { 2 } + 4 x ; g ( x ) = x + 2 \quad$ Find $( g \circ f ) ( 2 )$

For the given functions f and g, find the requested function. - $f ( x ) = \sqrt { x } ; g ( x ) = 4 x - 9 \quad$ Find $\left( \frac { f } { g } \right) ( x )$

For the given functions f and g, find the requested function. - $f ( x ) = - 6 x ^ { 4 } ; g ( x ) = - 2 x ^ { 2 } \quad$ Find $\left( \frac { f } { g } \right) ( x )$ .

For the given functions f and g, find the composition. - $f ( x ) = x ^ { 2 } + 4 x ; g ( x ) = x + 2 \quad$ Find $( f \circ g ) ( 4 )$

For the given functions f and g, find the requested function. - $f ( x ) = 2 x ^ { 3 } - 1 ; g ( x ) = 4 x ^ { 2 } - 1 \quad$ Find $( f \cdot g ) ( x )$ .

For the given functions f and g, find the composition. - $f ( x ) = x ^ { 2 } + 3 x ; g ( x ) = \sqrt { x } \quad$ Find $( g \circ f ) ( 6 )$

For the given functions f and g, find the composition. - $f ( x ) = 4 x + 5 ; g ( x ) = 2 x - 1 \quad$ Find $( f \circ g ) ( x )$

For the given functions f and g, find the requested function. - $f ( x ) = 6 x + 1 ; g ( x ) = 3 x - 5 \quad$ Find $\left( \frac { f } { g } \right) ( x )$

For the given functions f and g, find the composition. - $f ( x ) = x ^ { 2 } - 6 x + 3 ; g ( x ) = \sqrt { x } \quad$ Find $( f \circ g ) ( 9 )$