Consider \( f:\{1,2,3\} \rightarrow\{a, b, c\} \) given by \( f(1)=...

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Consider \( f:\{1,2,3\} \rightarrow\{a, b, c\} \) given by \( f(1)=a, f(2)=b \) and \( f(3)=c \). Find \( f^{-1} \) and show that \( \left(f^{-1}\right)^{-1}=f \).
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