For the pair of functions, find the indicated composition.
-$f ( x ) = \frac { 2 } { x } , g ( x ) = 7 x ^ { 4 }$
Find $( g \circ f ) ( x )$
A) $\frac { 7 x ^ { 4 } } { 16 }$
B) $\frac { 7 x ^ { 4 } } { 2 }$
C) $\frac { 112 } { x ^ { 4 } }$
D) $\frac { 2 } { 7 x ^ { 4 } }$

Question

Quizplus · Accepted Answer

To find $(g \circ f)(x)$, you substitute $f(x)$ into $g(x)$, resulting in $g(f(x)) = g\left(\frac{2}{x}\right) = 7\left(\frac{2}{x}\right)^4 = \frac{112}{x^4}$.

For the Pair of Functions, Find the Indicated Composition f(x)=2x,g(x)=7x4f ( x ) = \frac { 2 } { x } , g ( x ) = 7 x ^ { 4 }f(x)=x2​,g(x)=7x4

For the Pair of Functions, Find the Indicated Composition $f ( x ) = \frac { 2 } { x } , g ( x ) = 7 x ^ { 4 }$