Practice Problems: The Composition of Functions
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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

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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.


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Use the graphs of y = f(x) and y = g(x) to find each of the following

compositions.

  • f(g(3))

  • g(f(3))

  • f(g(0))

  • g(f(0))

  • g(g(3))


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Answers to Practice Problems for Composition of Functions following

(Complete solutions follow.)

  • a. –5

  • b. –1

  • c. 4

  • d. 2

  • e. 3






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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


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