||| = OGRAPHS AND FUNCTIONS Determining whether two functions are inverses of each other For each pair of functions f and 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.) (a) f(x) = = , x = 0 2x 2x f(g(x)) = , x = 0 8 (f(x)) = Of and g are inverses of each other Of and g are not inverses of each other (b) f(x) = x + 6 g(x) = x + 6 f(g(x)) = [ 8 (f(x)) = Of and g are inverses of each other Of and g are not inverses of each other X 5

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