### Home > CALC > 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 would be written*

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

Let and

*. Draw an arrow diagram and determine the composite function for each*

*below. Simplifying is not required.*

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).