For each pair of functions f and g below, find f(g(x)) and g (f(x)). Then, determine whether f and g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) X x - 1 (a) f(x) = - = (b) f(x) = * = ¹ 3 2 g(x) = - 3x g(x) = 2x + 1 f(g(x)) = f(g(x)) = [ g (f(x)) = [ g (f(x)) = [ Of and g are inverses of each other Of and g are not inverses of each other Of and g are inverses of each other Of and g are not inverses of each other 00 X U

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A: Topic:- function

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A: Topic:- algebra

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