## Function Composition

When you see something like $f(g(x))$ or $(f \circ g) x$, you have function composition.

The idea behind function composition is that we start with two separate functions, like $f(x) = x+5$ and $g(x) = x^2$. Then, one function acts as the input for another function.

So, see how $f(x) = x+5$ has input $x$? When we have a composition like $f(g(x))$, the input becomes $g(x)$. This means we need to replace every $x$ with $g(x)$.

It's like how cute Sonic replaced creepy Sonic in every scene of the movie after the trailer dropped.

Similarly, we need to replace every $x$ with $g(x)$. Try it out! Enter in two functions and see what the composition looks like:

$f(x) =$
$g(x) =$