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If f(x)=(x+1)/(x-1) , show that f{f(x)}=...

If `f(x)=(x+1)/(x-1)` , show that `f{f(x)}=xdot`

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`f(x)=(x+1)/(x-1)`
`=f(f(x))=(((x+1)/(x-1))+1)/(((x+1)/(x-1))-1)`
`=((x+1+x-1)/(x-1))/((x+1-(x-1))/(x-1))`
`=(2x)/(2)`
`=x`
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