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For each pair of functions fand g below, find f(g(x)) and g (f(x)). Then, determine whether fand g are inverses of each other. Simplify
For each pair of functions fand g below, find f(g(x)) and g (f(x)). Then, determine whether fand 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+7 2 (a) f(x) = (b) f(x) = 2x g(x) = 2x - 7 g(x) = 2x (x(x)) = x 1(8 (x)) = 8 (f(x)) = x+5 Of and g are inverses of each other fand g are not inverses of each other 8 ((x)) = Of and g are inverses of each other Of and g are not inverses of each other G
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