For each pair of functions f and g below, find f(g (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.) 1 (a) f(x) = 2x (b) f(x) = x + 3 1 ? g (x) = , I+ 0 2x g (x) = x + 3 %3D sle (*)) = | f(g (x)) = I %3! gf(+)) = 0 g((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