Answer
$f(g(h(x)))=\sqrt((x^{3}+2)^{2}-3)$
Work Step by Step
We need to find $f(g(h(x)))$. To do this we can first substitute g(x) into our f(x) equation. $f(g(x))=\sqrt(x^{2}-3)$. Next, we can further substitute in h(x) into our previous function to create $f(g(h(x)))=\sqrt((x^{3}+2)^{2}-3)$ .