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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

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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.) (a) f (x) = x+ 3 (b). f (x ) x /0 4x X ? g x) = x-3 g x = .x 70 4x f(8(x)) = 0 f(8(x)) = 0 8 ( (x) ) = 0 8 ( (x) ) = 0 Of and g are inverses of each other Of and g are inverses of each other Of and g are not inverses of each other Of and g are not inverses of each other

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