For each pair of functions f and g below, find f(g(x)) and g (f(x)). Then, determine whether 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) = * + 3 2 g(x) = 2x - 3 (g(x)) = g (f(x)) = 0 Of and g are inverses of each other Of and g are not inverses of each other (b) f(x) = 4x g(x) = 4x f(g(x)) = 8 ((x)) = ] Of and g are inverses of each other Of and g are not inverses of each other