(Answer must be in your own hand-writing) (a) Let ƒ and g be the functions defined from the set of integers into the set of integers by f(x)=6x+11 and g(x) = 10+7x. Determine the compositions (fog) (r) and (go2f)(a)? Find a value of x (if any) such that (go2f)(x) = (fog)(x)+219. 53-88820 (2 marks) (b) Let A = {2, 4, 7, 8, 14, 16, 28}. Draw the Hasse diagram for the partial order "divisibility " on A. Find maximal and minimal elements of the poset (A.). (2 marks) (c) Using Warshall's algorithm, find the transitive closure of the relation R={(2,3), (3,5), (3, 6), (4, 5), (5, 6)} on the set A = {2,3,4,5,6}. 153-888 (2 marks)