Let \( S=\{1,2,3\} \). Determine whether the functions \( f: S \rightarrow S \) defined as below...
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0Let \( S=\{1,2,3\} \). Determine whether the functions \( f: S \rightarrow S \) defined as below have inverse. Find \( f^{-1} \), if it exists.
\[
f=\{(1,2)(2,1),(3,1)\}
\]
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