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let NN be the set of natural numbers and...

let `NN` be the set of natural numbers and `f: NN uu {0} rarr NN uu [0]` be definedby :
`f(n)={(n+1 " when n is even" ),(n-1" when n is odd " ):}`
Show that ,f is a bijective mapping . Also that `f^(-1)=f`

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