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 + 4 (b) f(x) = , x # 0 3x - 1 g (x) = x - 4 g (x) = 3x %3D | sle (*)) = | s(8 (x)) = ] %3! %3D g(f(x)) = ] %3D Of and g are inverses of each other Of and g are inverses of each other Of and g are not inverses of each other Of and g are not inverses of each other