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Please answer all questions and show work to help me understand HW 1. Composition of functions 2. Operations with functions f(x) = x -9 g(x)

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Please answer all questions and show work to help me understand

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HW 1. Composition of functions 2. Operations with functions f(x) = x -9 g(x) = 2x' + 6x - 13 g(n) = 3n + 1 h(n) = 2n - 3 Find: (go f)(x) Find (-4g + 5h)(-2n) 3. Inverse functions a. Given f(x)= 4x+16. b. Given h(x) =2x3+3 Find h-(x). Find f*(x). 4. Prove the following are inverses of each other. a) f(n) = 16 +n 4 b) f (m) = 2(n - 2)3 g(n) = 4n + 16 8(n) - 4+ Van 2

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