For each pair of functions f and g below, find fg(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) = (b) f(x) = x + 2 g (x) = g(x) = -x + 2 F(a (x)) =| f(g (x)) = D 9 (1 (x)) = [ g (f (x)) = D O f and g are inverses of each other O f and g are inverses of each other Of and 9 are not inverses of each other Of and g are not inverses of each other

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