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Let A=R-{3} and B=R-[1]dot Consider the ...

Let `A=R-{3}` and `B=R-[1]dot` Consider the function `f: AvecB` defined by `f(x)=((x-2)/(x-3))dot` Show that `f` is one-one and onto and hence find `f^(-1)`

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Let `x_{1}, x_{2} in A`.

Now, `f(x_{1})=f(x_{2})`

`Rightarrow quad frac{x_{1}-2}{x_{1}-3}=frac{x_{2}-2}{x_{2}-3} `

`Rightarrow quad (x_{1}-2)(x_{2}-3)=(x_{1}-3)(x_{2}-2) `

...
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