Problem Set A 1. The function ????(????) is defined by ????(????) = 1 1 ???? , where p 1. i. Why is 1 excluded from the domain of ????(????)? Provide proof for your response. ii. State the range of the function ????(????). iii. Calculate the value of ????(3). iv. Derive the inverse of ????(????). 2. Use synthetic division to derive the expression when the polynomial 2 2????3+????4???? is divided by ???? = 2. [2 marks] [2 marks] [1 mark] [4 marks] [3 marks] 3. Derive the solution to the following without a calculator. Show all necessary workings. (49 16 1 2 ) 4. Express the following in terms of log m, log n and log p. log???? 3???? ????????2 Problem Set B [3 marks] [5 marks]