Answer
-6
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 $(h∘g)(-2)$. We know that $(h∘g)(x)=h(g(x))$.
Therefore, $(h∘g)(-2)=h(g(x))=h(2(-2)+3)=h(-4+3)=h(-1)=-1-5=-6$.
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