Let A=R-{2} and B=R-{1} if f:A rarr B is...

Let `A=R-{2}` and `B=R-{1}` if `f:A rarr B` is a function defined by `f(x)=(x-1)/(x-2)` show that f is one-one and onto. Hence find `f^(-1)`.

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The correct Answer is:

`(2x-1)/(x-1)`

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