Composition of Functions

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