Let f, g, and h: R R be defined by f(x) = x + 2 g(x) = h(x) = 3 Compute go f(x), fog(x),hogo f(x), and go fo f(x). (4 points) . Let S = {1,2,3,4,5) and let f, g, h:S S be the functions defined by f = {(1,2), (2,1), (3,4), (4,5), (5,3)} g= {(1,3), (2,5), (3,1), (4,2), (5,4)} h = {(1,2), (2,2), (3,4), (4,3), 5,1)} a. Find f g and go f. Are these functions equals? (3 points) b. Explain why fand g have inverses but h does not. (3 points) c. Show that (fog)- = g- o f-1 # f- o g-. (3 points)