Practice Problems: The Composition of Functions

1
Practice Problems The Composition of
Functions Work problems on your own first. Then
check with answers in the following slides. If
the answers dont help, complete solutions
are available in the final slides.
2
(No Transcript)
3
(No Transcript)
4
Use the graphs of y f(x) and y g(x) to find
each of the following compositions.

1. f(g(3))
2. g(f(3))
3. f(g(0))
4. g(f(0))
5. g(g(3))

5

• Answers to Practice Problems for Composition of
  Functions
• (Complete solutions follow.)
• a. 4
• b. 22

6
Answers to Practice Problems for Composition of
Functions (Complete solutions follow.)

• a. 5
• b. 1
• c. 4
• d. 2
• e. 3

7
Complete solutions to Practice Problems for
Composition of Functions.
8
Complete solutions to Practice Problems for
Composition of Functions.
9
Complete solutions to Practice Problems for
Composition of Functions.
10
Complete solutions to Practice Problems for
Composition of Functions.
11
Use the graphs of y f(x) and y g(x) to find
each of the following compositions.

• f(g(3))
• f(-1) -5
• g(f(3))
• g(3) -1
• f(g(0))
• f(2) 4
• g(f(0))
• g(0) 2
• g(g(3)
• g(-1) 3