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Let f(x) = x^2 + 4x 6 and g(x) = 1 3x. (a) Evaluate each of the following expressions. Show all work, step-by-step. 1. f(g(2))

Let f(x) = x^2 + 4x 6 and g(x) = 1 3x. (a) Evaluate each of the following expressions. Show all work, step-by-step. 1. f(g(2)) 2. g(f(2)) 3. f(f(5)) 4. g(g(5)) (b) Simplify each of the following compositions. Show all work, step-by-step. 1. f(g(x)) 2. g(f(t)) 3. f(f(w)) 4. g(g(y))

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