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Find the inverse of the function: f:(2...

Find the inverse of the function: `f:(2,3) to (0,1)` defined by `f(x)=x-[x],` where[.] represents the greatest integer function

Text Solution

Verified by Experts

The correct Answer is:
`f^(-1)(x)=x+2`
Given `f:(2,3) to (0,1) " and "f(x)=x-[x].`
` :. f(x) =y=x-2`
or `y+2=f^(-1)(y)`
or `f^(-1)(x)=x+2`
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