For the given functions f and g, find the composition.
-$f ( x ) = \sqrt { x + 2 } ; g ( x ) = 8 x - 6 \quad$ Find $( g \circ f ) ( x )$
A) $2 \sqrt { 2 x + 1 }$
B) $2 \sqrt { 2 x - 1 }$
C) $8 \sqrt { x - 4 }$
D) $8 \sqrt { x + 2 } - 6$

Question

Quizplus · Accepted Answer

To find $(g \circ f)(x)$, we substitute $f(x)$ into $g(x)$. So, $g(f(x)) = g(\sqrt{x + 2}) = 8(\sqrt{x + 2}) - 6$, which matches option D.

For the Given Functions F and G, Find the Composition f(x)=x+2;g(x)=8x−6f ( x ) = \sqrt { x + 2 } ; g ( x ) = 8 x - 6 \quadf(x)=x+2​;g(x)=8x−6

For the Given Functions F and G, Find the Composition $f ( x ) = \sqrt { x + 2 } ; g ( x ) = 8 x - 6 \quad$