Composition of functions means that we can put a function inside a function. There are two equivalent ways to write composition of functions.

3-step process

**Step 1)** Write out with parenthesis around where the would be

**Step 2)** Fill in the blank spots with

**Step 3)** Combine like-terms and simplify

These are not commutative. Therefore it’s going to be different if we write

**Step 1)** Write with parenthesis around where the would be

**Step 2)** Fill in the blank spots with

**Step 3)** Combine like-terms and simplify