Determine $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \sqrt { x } \text { and } g ( x ) = \frac { 3 } { x }$
A) $\frac { 3 } { \sqrt { x } }$
B) $\frac { 3 } { x ^ { 2 } }$
C) $\sqrt { \frac { 3 } { x } }$
D) $\frac { \sqrt { x } } { 3 }$

Question

Quizplus · Accepted Answer

\begin{align*}
(g \circ f) (x) &= g(f(x)) \
&= g(\sqrt{x}) \
&= \frac{3}{\sqrt{x}} \
&= \frac{3}{x^{1/2}} \
&= 3x^{-1/2} \
&= \frac{3}{\sqrt{x}}
\end{align*}

Determine (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) For the Pair of Functions

Determine $( g \circ f ) ( x )$ For the Pair of Functions