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If f(x)=1/(1-x) , show thatf[f{f(x)}]=xd...

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

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Given,
`f(x)=1/(1−x)`
`⇒f{f(x)}=1/{1−1/(1−x)}`
`=>(1−x)/(−x)`
`=>(x-1)/x`
And,
`f[f{f(x)}]={1/(1−x)−1}/(1/(1−x))`
`=(x/(1−x)×(1−x)/1)`
...
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