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

Question

Quizplus · Accepted Answer

The composite function $(f \circ g)(x)$ means applying $g$ first and then $f$, so we substitute $g(x) = 8x - 6$ into $f$, resulting in $f(g(x)) = \sqrt{8x - 6 + 2} = \sqrt{8x - 4} = 2\sqrt{2x - 1}$.

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

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