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Find the inverse of the function: f:Z...

Find the inverse of the function: `f:Z to Z` defined by `f(x)=[x+1],` where [.] denotes the greatest integer function.

Text Solution

Verified by Experts

The correct Answer is:
`f^(-1)(x)=x-1`
Since the domain of the functions is Z, we have `f(x)=x+1`
or `f^(-1)(x)=x-1`.
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