(1) (4 marks) Find the domain of the function f(x) = In(cos-(x + 2)). (2) (4 marks) Find an exponential function f (x) = b + a that passes through the points (1, 4) and (2, 10) . (3) (9 marks) Evaluate 3TT (a) tan tan 5 (b) sin (2 tan (0.1)) (c) cos sin 1 (-) + cos-1 (4) (12 marks) Find the given limits: Vex + 4x (a) lim V47 + 2(32) (b) lim xcesin(/x) x-0+ x2 + 2x - 3 (c lim x- -3+ 2 + 3 (d) lim tan 1 (x3 - ac) x- - - OO (5) (6 marks) Find horizontal and vertical asymptotes of the given functions: e27 + 3e7 + 1 (a) f(a) = e2x - 1 (b) g(20) = ac4 + 2