Find $( f \circ g ) ( x )$ where $f ( x ) = 4 x - 3$ and $g ( x ) = \sqrt { x + 8 }$ .
A) $4 \sqrt { x + 8 } - 3$
B) $\sqrt { 4 x + 5 }$
C) $\sqrt { 4 x + 32 } - 3$
D) $4 \sqrt { x + 5 }$
E) $( 4 x - 3 ) \sqrt { x + 8 }$

Question

Quizplus · Accepted Answer

The composition $( f \circ g ) ( x )$ means applying $g$ first and then $f$. So, first, we calculate $g(x) = \sqrt{x + 8}$, and then apply $f$ to this result: $f(g(x)) = 4(\sqrt{x + 8}) - 3$, which matches choice A.

Find (f∘g)(x)( f \circ g ) ( x )(f∘g)(x) Where f(x)=4x−3f ( x ) = 4 x - 3f(x)=4x−3

Find $( f \circ g ) ( x )$ Where $f ( x ) = 4 x - 3$