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.) (a) f(x) = 2x+ 1 (b) f (x) = -2x X 1 g (x) = 2 g (x) = -2x fle (x)) = 0 fle (x)) = 0 g (f (x)) = 0 8(f (x)) = 0 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