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Let S = {1, 2, 3}. Determine whether the functions f : S → S defined as below have inverses. Find f–1, if it exists.
(a) f = {1, 1), (2, 2), (3, 3)} (b) f = {(1, 2), (2, 1), (3, 1)}(c) f = {(1,3),(3,2), (2, 1)}
