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

Let S = {1, 2, 3}. Determine whether the function `f : S rarr 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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