Scenario: Players embark on a quest to restore a magical artifact that has been shattered into fragments by an evil sorcerer. Each fragment contains a function that players must use. They will encounter various obstacles and enemies, and to overcome them, they must correctly identify the composition of two function fragments.

Task: Use the pair of functions to find $f(g(x))$ and $g(f(x)).$ Simplify your answers.

$f(x)=\sqrt[\phantom{2}]{x}+8,g(x)=x^2+9$

$f(g(x))=$

$g(f(x))=$

$$

$$