Question 1

Find the inverse of the one-to-one function. y = 6x f ^-1(x) = __________

Accepted Answer

The answer of Find the inverse of the one-to-one function.
​
y...

Question 2

Find the inverse of the one-to-one function. ​  ​
A) 
B) 
C) 
D) 
E)inverse does not exist

Accepted Answer

The answer of Find the inverse of the one-to-one function....

Question 3

Find the inverse of the one-to-one function. y = 5x + 4 f ^-1(x) = __________

Accepted Answer

The answer of Find the inverse of the one-to-one function.
​
y...

Question 4

Determine whether the function is one-to- one. ​
Y = 3x
​
A)No, it isn't one-to-one.
B)Yes, it is one-to-one.

Accepted Answer

The function y = 3x is one-to-one because for every value of x, there is exactly one corresponding value of y. No two different values of x can map to the same value of y, so there are no collisions.

Question 5

Find the inverse of the one-to-one function. Y = 3x A) B)f ^-1(x) = 3x C) D) E)f ^-1(x) = 9x

Accepted Answer

The answer of Find the inverse of the one-to-one function....

Question 6

Find the inverse of the one-to-one function. ​
Y = 5x + 9
​
A) 
B) 
C) 
D) 
E)none of the above

Accepted Answer

To find the inverse, we first replace y with x and x with y: 
x = 5y + 9 
Next, we solve for y: 
x - 9 = 5y 
y = (x-9)/5 
Thus, the inverse function is y = (x-9)/5, which corresponds to choice B.

Question 7

The function f(x) = x² - 2 is one-to-one on the domain (x ≤ 0) .Find f ^-1(x). A) B) C) D) E)f ^-1(x) = x² + 2

Accepted Answer

The answer of The function f(x) = x² - 2...

Question 8

Find the inverse of the one-to-one function. f ^-1(x) = __________

Accepted Answer

The answer of Find the inverse of the one-to-one function.
​...

Question 9

Show algebraically that f and g are inverse functions.
f(x) = 9x + 9

Accepted Answer

The answer of Show algebraically that f and g are...

Question 10

Determine algebraically whether f and g are inverse functions. g(x) = x² - 6, x ≥ 0 A)Yes, f and g are inverse functions. B)No, f and g are not inverse functions.

Accepted Answer

The answer of Determine algebraically whether f and g are...

Question 11

Determine algebraically whether f and g are inverse functions. f(x) = 5x - 3 
A)Yes, f and g are inverse functions.  
B)No, f and g are not inverse functions.

Accepted Answer

The answer of Determine algebraically whether f and g are...

Question 12

Determine whether the function is one-to-one. Y = (x - 5)²; x ≥ 5 A)No, it isn't one-to-one. B)Yes, it is one-to-one.

Accepted Answer

The function Y = (x - 5)^12 is one-to-one for x ≥ 5 because for every x in the domain, there is a unique y in the range. The restriction x ≥ 5 ensures that the function does not repeat values, making it one-to-one.

Question 13

Show algebraically that f and g are inverse functions. , x ≥ 8 g(x) = x² + 8, x ≥ 0

Accepted Answer

The answer of Show algebraically that f and g are...

Quiz 7: Prerequisites

Find the inverse of the one-to-one function. y = 6x f ^-1(x) = __________

Find the inverse of the one-to-one function.

Find the inverse of the one-to-one function. y = 5x + 4 f ^-1(x) = __________

Determine whether the function is one-to- one. Y = 3x

Find the inverse of the one-to-one function. Y = 3x

Find the inverse of the one-to-one function. Y = 5x + 9

The function f(x) = x² - 2 is one-to-one on the domain (x ≤ 0) .Find f ^-1(x) .

Find the inverse of the one-to-one function. f ^-1(x) = __________

Show algebraically that f and g are inverse functions. f(x) = 9x + 9

Determine algebraically whether f and g are inverse functions. g(x) = x² - 6, x ≥ 0

Determine algebraically whether f and g are inverse functions. f(x) = 5x - 3

Determine whether the function is one-to-one. Y = (x - 5) ²; x ≥ 5

Show algebraically that f and g are inverse functions. , x ≥ 8 g(x) = x² + 8, x ≥ 0

Quiz 7: Prerequisites

Find the inverse of the one-to-one function. ​ y = 6x ​ f -1(x) = __________

Find the inverse of the one-to-one function. ​ ​

Find the inverse of the one-to-one function. ​ y = 5x + 4 ​ f -1(x) = __________

Determine whether the function is one-to- one. ​ Y = 3x ​

Find the inverse of the one-to-one function. ​ Y = 3x ​

Find the inverse of the one-to-one function. ​ Y = 5x + 9 ​

The function f(x) = x2 - 2 is one-to-one on the domain (x ≤ 0) .Find f -1(x) . ​

Find the inverse of the one-to-one function. ​ ​ f -1(x) = __________

Show algebraically that f and g are inverse functions. f(x) = 9x + 9

Determine algebraically whether f and g are inverse functions. g(x) = x2 - 6, x ≥ 0

Determine algebraically whether f and g are inverse functions. f(x) = 5x - 3

Determine whether the function is one-to-one. ​ Y = (x - 5) 2; x ≥ 5 ​

Show algebraically that f and g are inverse functions. , x ≥ 8 g(x) = x2 + 8, x ≥ 0

Find the inverse of the one-to-one function. y = 6x f ^-1(x) = __________

Find the inverse of the one-to-one function.

Find the inverse of the one-to-one function. y = 5x + 4 f ^-1(x) = __________

Determine whether the function is one-to- one. Y = 3x

Find the inverse of the one-to-one function. Y = 3x

Find the inverse of the one-to-one function. Y = 5x + 9

The function f(x) = x² - 2 is one-to-one on the domain (x ≤ 0) .Find f ^-1(x) .

Find the inverse of the one-to-one function. f ^-1(x) = __________

Determine algebraically whether f and g are inverse functions. g(x) = x² - 6, x ≥ 0

Determine whether the function is one-to-one. Y = (x - 5) ²; x ≥ 5

Show algebraically that f and g are inverse functions. , x ≥ 8 g(x) = x² + 8, x ≥ 0