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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. a.f(g(3)) b.g(f(3)) c.f(g(0)) d.g(f(0)) e.g(g(3))

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

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

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Complete solutions to Practice Problems for Composition of Functions.

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Complete solutions to Practice Problems for Composition of Functions.

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Complete solutions to Practice Problems for Composition of Functions.

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Complete solutions to Practice Problems for Composition of Functions.

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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

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Notes Over 3.1 Solving a System Graphically Graph the linear system and estimate the solution. Then check the solution algebraically.

Notes Over 3.1 Solving a System Graphically Graph the linear system and estimate the solution. Then check the solution algebraically.

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