Practice Problems: The Composition of Functions Work problems on your own first. Then check with answers in the following slides. If the answers don’t.

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Presentation transcript:

Practice Problems: The Composition of Functions Work problems on your own first. Then check with answers in the following slides. If the answers don’t help, complete solutions are available in the final slides.

Use the graphs of y = f(x) and y = g(x) to find each of the following compositions. a.f(g(3)) b.g(f(3)) c.f(g(0)) d.g(f(0)) e.g(g(3))

Answers to Practice Problems for Composition of Functions (Complete solutions follow.) 1.a. 4 b. –22

Answers to Practice Problems for Composition of Functions (Complete solutions follow.) 9.a. –5 b. –1 c. 4 d. 2 e. 3

Complete solutions to Practice Problems for Composition of Functions.

Complete solutions to Practice Problems for Composition of Functions.

Complete solutions to Practice Problems for Composition of Functions.

Complete solutions to Practice Problems for Composition of Functions.

Use the graphs of y = f(x) and y = g(x) to find each of the following compositions. a.f(g(3))= f(-1) = -5 b.g(f(3))= g(3) = -1 c.f(g(0))= f(2) = 4 d.g(f(0)) = g(0) = 2 e.g(g(3) = g(-1) = 3