### Home > PC3 > Chapter 5 > Lesson 5.2.5 > Problem5-126

5-126.

Given $f(x)=4x+2$, $g(x)=10x^2-8$, and $h\left(x\right)=\sqrt{x}+2$, write equations for:

1. $f(g(−2))$

Evaluate $g(−2)$ first. Then substitute that value into the $f$ function.

1. $g(f(h(0)))$

$g(f(h(0)))= g(f(\sqrt{0}+2))$

1. $h^{−1}(x)$

1. Let $h(x)=y$. Switch the $x$ and $y$.
2. Solve for $y$.

1. $g(h(x))$

$g(h(x))=g(\sqrt{x}+2)$