Answer
$f(g(h(x)))= 3(sin(x^{2})) -2$
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. $f(g(x))= 3(sin(x))-2$. Next, we can further substitute in h(x) into our previous function to create $f(g(h(x)))= 3(sin(x^{2})) -2$.