Determining whether two functions are inverses of each other For each pair of functions fand g...

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Determining whether two functions are inverses of each other 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.) (a) f(x) = X 2 7 g(x) = 2x + 7 f(g(x)) = [] g (f(x)) = | Of and g are inverses of each other Of and g are not inverses of each other (b) f(x) = -6x g(x) = -6x f(g(x)) = 8 (f(x)) = Of and g are inverses of each other Of and g are not inverses of each other Determining whether two functions are inverses of each other 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.) (a) f(x) = X 2 7 g(x) = 2x + 7 f(g(x)) = [] g (f(x)) = | Of and g are inverses of each other Of and g are not inverses of each other (b) f(x) = -6x g(x) = -6x f(g(x)) = 8 (f(x)) = Of and g are inverses of each other Of and g are not inverses of each other