Consider the functions $f ( x ) = x ^ { 3 }$ and $g ( x ) = \sqrt { x }$ .
Find $f / g$ .

A) $x ^ { 3 } \sqrt { x }$
B) $\frac { \sqrt { x } } { x ^ { 2 } }$
C) $\frac { \sqrt { x } } { x ^ { 3 } }$
D) $\frac { x ^ { 2 } \sqrt { x } } { x }$
E) $x ^ { 2 } \sqrt { x }$

Question

Consider the functions $f ( x ) = x ^ { 3 }$ and $g ( x ) = \sqrt { x }$ . ​
Find $f / g$ .
​
A) $x ^ { 3 } \sqrt { x }$
B) $\frac { \sqrt { x } } { x ^ { 2 } }$
C) $\frac { \sqrt { x } } { x ^ { 3 } }$
D) $\frac { x ^ { 2 } \sqrt { x } } { x }$
E) $x ^ { 2 } \sqrt { x }$

Quizplus · Accepted Answer

The division of $f(x) = x^3$ by $g(x) = \sqrt{x}$ gives $f/g = \frac{x^3}{\sqrt{x}} = x^{\frac{6}{2}} \cdot x^{-\frac{1}{2}} = x^{2.5} = x^2 \sqrt{x}$, which matches option E.

Consider the Functions f(x)=x3f ( x ) = x ^ { 3 }f(x)=x3

Consider the Functions $f ( x ) = x ^ { 3 }$