Question

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)}

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