Answer
$2x-2$
Work Step by Step
We are given that $f(x)=x^{2}+4$, $g(x)=2x+3$, and $h(x)=x-5$.
We are asked to find $(h∘g)(x)$. We know that $(h∘g)(x)=h(g(x))$.
Therefore, $(h∘g)(x)=h(g(x))=h(2x+3)=(2x+3)-5=2x+3-5=2x-2$.
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