13. [10 marks] Consider the functions given by f(x) = (x + 1) and g(x) = 7x + 13. (a) Verify that the curves of y = f(x) and y = g(x) intersect at the points (-3, -8), (-2, -1), and (2, 27). (b) Draw a rough sketch of both curves on the same axis. 30 7 25 20 15 10 5 -4 -3 -2 -1 1 2 3 4 OT J -5 -10 (c) Find the area enclosed between the curves f and g by evaluating the appropriate definite inte- gral(s)