1. The following questions were adapted from past test and exam questions. (a) Find the inverse of the following function and give its domain. [4 marks] ['(I') _ 2:1\". 9 ' (1.1..- + 7 H; f1? (l1) For an invertible function y(;1:) = 5 rE-r if 9"(17) = 2 and y"(24) = 3, nd the values of H and k. '3' i [4 marks] x/3 . , (e) If if S f} S 271' and (3014(0) = ? what would lie the exact value of {4111(0) 3' [4 marks] ((1) Find the derivative of the function below. Give the answer in positive exponents or surds. 3 r, , 5 f(12) : 5V 3:" + 317332 12a2 [4 marks] (e) Consider a differentiable function 9(33) : :err1 + (13:37. It has a derivative given by1 g g'Qr.) = 733'i + 237\". Find the values of a and h? [4 marks]