### Home > APCALC > Chapter 5 > Lesson 5.1.4 > Problem 5-44

5-44.

A “CHAIN” OF FUNCTIONS

Remember that composite functions are made by “chaining” simpler functions together. For example, is made by chaining the functions

*and*

*.*

It can be useful to show this idea with an arrow diagram:

Above is an arrow diagram for * *followed by

*, which is written*

*. (Notice that the “inner” function is applied first.)*

Let * *and

Refer to example above and hint in part (a).

Refer to example above and hint in part (a).

Refer to example above and hint in part (a).