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2) [15 marks] Let f(x) = ex + 3x. a) Show that f (x) is invertible on R. b) Let g(y) denote the inverse of

2) [15 marks] Let f(x) = ex + 3x. a) Show that f (x) is invertible on R. b) Let g(y) denote the inverse of f(x). What is the domain and range of g(y)? What is g(e + 3)? c) Find g'(e + 3)

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