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Let S = {1,2,3}. Determine whether the f...

Let `S = {1,2,3}.` Determine whether the functions `f : S to 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), (2,3),(2,1)}`

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