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Given f(x)=1/(x-1) . Find the points of ...

Given `f(x)=1/(x-1)` . Find the points of discontinuity of the composite function `f(f(x))` .

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`f(x)=frac{1}{x-1} `

`f(f(x))=frac{1}{frac{1}{x-1}-1}=frac{x-1}{1-(x-1)}=frac{x-1}{2-x}`

`A+x=2` funcion is not defined So it is discontiuous at `x=2`.

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