Question

3. (18 pts) MULTIPLE CHOICE ! ! ! A table of values for f(x) and f'(x) is shown below. Suppose that f is a one-to-one function and f (x) is its inverse. f' x 1 3 4 f (x) 3 4 6 (x) 4 5 3 CIRCLE THE CORRECT ANSWER IN EACH PART. (I) Evaluate f-1 (f (x)) at x = 3. (a) 1 ; (b) 3; (c) 6; (a) 4; (e) DOES NOT EXIST; (£) NONE OF THE PREVIOUS ANSWERS. (11) Evaluate e f (f (x)) at x = 3. (a) 6 ; (b) 25; (c) 5; (d) 15; (e) DOES NOT EXIST ; () NONE OF THE PREVIOUS ANSWERS. (111) Evaluate e In (f (x)) at x = 3. (e) DOES NOT EXIST; (f) NONE OF THE PREVIOUS ANSWERS. (IV) Evaluate f-1 (x) at x = 3. (a) 4; (a) 4 ; (b) 1; (b) 1 ; (com () 5; (d) 5; (e) DOES NOT EXIST; () NONE OF THE PREVIOUS ANSWERS. (v) Evaluate -? (x) at x = 3. (a) 1 ; (b) 4; (e) 5; () NONE OF THE PREVIOUS ANSWERS. (VI) Find the average rate of chnage of f over the interval (1, 3). (a) 2 ; (b)1; (c) ; (a) 5; (e) DOES NOT EXIST; () NONE OF THE PREVIOUS ANSWERS.