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 $(h∘g)(4)$. We know that $(h∘g)(x)=h(g(x))$.
Therefore, $(h∘g)(4)=h(g(4))=h(2(4)+3)=h(8+3)=h(11)=11-5=6$.
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