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

Let S = {1, 2, 3}. Determine whether the functions `f:S rarr S` defined as below have inverses. Find `f^(-1)`, if it exists.
Note : Here we accept that inverse at function is unique.
`f = {(1, 2), (2, 1), (3, 1)}`

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The correct Answer is:
Inverse does not exists.
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Let S = {1, 2, 3}. Determine whether the functions f:S rarr S defined as below have inverses. Find f^(-1) , if it exists. Note : Here we accept that inverse at function is unique. f = {(1, 1), (2, 2), (3, 3)}

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