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

Let S = {1,2,3). Determine whether the functions f :'S `rarr` S defined as below have inverses. Find `f^(-1)`, if it exists.
(i) f= {(1, 1), (2, 2), (3, 3)]
(ii) f = {(1,2),(2,1),(3, 1),
(iii) f = {(1,3), (3, 2), (2,1)]

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