Q2 Let S = {1, 2, 3} Determine whether the functions f:S->S defined as below have inverse. Find f^-1, if it exists.

1. f={(1, 1), (2, 2), (3, 3)}
2. f={(1, 2),(2,1),(3,1)}
3. f = {(1, 3), (3, 2), (2, 1)}
4. f = {(1, 3),(2,2),(3,1)}

Solution

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