Answer
$2x^{2}+11$
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 $(g∘f)(x)$. We know that $(g∘f)(x)=g(f(x))$.
Therefore, $(g∘f)(6)=g(f(x))=g(x^{2}+4)=2(x^{2}+4)+3=2x^{2}+8+3=2x^{2}+11$.