Determine $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 4 } { x } \text { and } g ( x ) = 5 x - 5$
A) 20 x $-$ 5
B) $\frac { 4 } { x } + 5$
C) $\frac { 4 } { 5 x - 5 }$
D) $\frac { 20 } { x } - 5$

Question

Quizplus · Accepted Answer

\begin{align*}
(g \circ f)(x) &= g(f(x)) \
&= g\left(\frac{4}{x}ight) \
&= 5\left(\frac{4}{x}ight) - 5 \
&= \frac{20}{x} - 5 \
\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