Express $h(x)$ as a composition of two functions $f(x)$ and $g(x)$ : (f $\circ g)(x)$. A nsw ers may vary. Choose the possible answer.
-$h(x)=8(x+2)^{3}$
A) $f(x)=8 x^{2}, g(x)=x^{2}+2 x$
B) $f(x)=x^{3}, g(x)=8 x+16$
C) $f(x)=8 x^{3}+2, g(x)=x$
D) $f(x)=8 x^{3}, g(x)=x+2$

Question

Quizplus · Accepted Answer

The correct composition is $f(g(x)) = f(x+2) = 8(x+2)^3$, which matches option D, where $f(x) = 8x^3$ and $g(x) = x+2$.

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