Module 7: Rational Functions and Function Operations

 

In Try This 2 you may have noticed a composition of functions that are equations can be determined using substitution. For the functions f(x) = 3x + 1 and

 

 

 

and

 

 

 

You may have also noticed that (f(g(x)) is not the same as (g(f(x)). Watch Composition of Functions to see the difference.

 

 

This is a play button that opens Composition of Functions.



textbook

Read “Example 1” on pages 501 and 502 of the textbook. Pay attention to the two methods used to evaluate a composite function.

 

Self-Check 1
  1. Complete “Your Turn” from “Example 1” on page 502 of the textbook. Answer
  2. Complete questions 1.b., 1.c., 3.a., and 3.c. on page 507. Answer