Determine $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \sqrt { x + 8 } \text { and } g ( x ) = 9 x + 4$
A) $9 \sqrt { x + 8 } + 4$
B) $\sqrt { x + 8 }$
C) $9 ( x + 8 ) ^ { 2 } + 4$
D) $9 \sqrt { x - 8 } - 4$

Question

Quizplus · Accepted Answer

To find $( g \circ f ) ( x )$, we first substitute $f(x)$ into $g(x)$, which gives:
$$( g \circ f ) ( x ) = g(f(x)) = 9 \cdot \sqrt{x+8} + 4$$
Therefore, the answer is (A) $9 \sqrt { x + 8 } + 4$.

Determine (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) For the Pair of Functions

Determine $( g \circ f ) ( x )$ For the Pair of Functions