For the given functions f and g, find the composition.
-$$f ( x ) = \sqrt { x + 8 } ; g ( x ) = 8 x - 12$$
Find $( g \circ f ) ( x )$.
A) $8 \sqrt { x + 8 } - 12$
B) $2 \sqrt { 2 x - 1 }$
C) $2 \sqrt { 2 x + 1 }$
D) $8 \sqrt { x - 4 }$

Question

Quizplus · Accepted Answer

The composition $(g \circ f)(x)$ means applying $f$ first and then $g$. So, we first apply $f(x) = \sqrt{x + 8}$, and then apply $g(x) = 8x - 12$ to the result of $f(x)$. Thus, $g(f(x)) = 8\sqrt{x + 8} - 12$.

For the Given Functions F and G, Find the Composition f(x)=x+8;g(x)=8x−12f ( x ) = \sqrt { x + 8 } ; g ( x ) = 8 x - 12f(x)=x+8​;g(x)=8x−12

For the Given Functions F and G, Find the Composition $f ( x ) = \sqrt { x + 8 } ; g ( x ) = 8 x - 12$