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 + 0 (b) f(x) = x + 6 g (x) = g (x) = -x + 6 %3D se(4)) = | re (+)) = D g(+)) = 0 O f and g are inverses of each other Of and g are inverses of each other Of and g are not inverses of each other O f and g are not inverses of each other

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