The following three functions look very similar, but define very different functions. Think about how they are defined and write each as a composition of functions given the information below. (None of the functions in your compositions should be the same as the given function.)
1. $\tan^{4}(x)=f(g(x))$ where
$f(x)=$ , and $g(x)=$ .
2. $\tan(\tan(x))=f(g(x))$ where
$f(x)=$ , and $g(x)=$ .
3. $\tan x^{4}=f(g(x))$ where
$f(x)=$ , and $g(x)=$ .