Answer
$2x-7$
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 $(g∘h)(x)$. We know that $(g∘h)(x)=g(h(x))$.
Therefore, $(g∘h)(6)=g(h(x))=g(x-5)=2(x-5)+3=2x-10+3=2x-7$.
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