Course Number Sections Mathematics 203 All Examination Date Duration Midterm Test 23 October, 2016 1 h 30 min Special Only approved calculators are allowed Instructions: Show your work for full marks 1. (12 marks): (a) Solve for r (find the exact values, do not approximate): (i) 27 - 350 972 (ii) In (Inx) = 0 (b) Let f(x) = V9 -3r and g(x) = 3 -12. Find the composite functions fog and go f and determine their domains. (c) Let f(x) = 2 * - 1. Find the inverse function f- and the domain and range of f-1. 2. (8 marks) Find the limit or explain why the limit does not exist: (a) lim 1 t-0 tvitt (b) lim r2 - 25 3. (6 marks) Find (a) all horizontal and (b) all vertical asymptotes of the graph y = V4x6 + 2x2 + 1 x3 + x2 - 6x