(1 point) let f and g be permutations on the set {1,2, 3, 4, 5, 6, 7}, defined as follows f= (17)(5) 9= (71345) write each of the following permutations as a pr

(1 point) Let f and g be permutations on the set {1,2, 3, 4, 5, 6, 7}, defined as follows f= (17)(5) 9= (71345) Write each of the following permutations as a product of disjoint cycles, separated by commas (eg. (1,2), (3,4,5),...) Do not include 1-cycles (e.g. (2)) in your answer. (a) fg= (b) f-l = (C)f9f = Assume multiplication of permutations fg obeys the rule (fo)x) = fotx) so (1,3)(1,2) = (1,2,3) not (1,3, 2).