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If f(x)=log((1+x)/(1-x)), f(2x/(1+x^2))=...

If `f(x)=log((1+x)/(1-x))`, `f(2x/(1+x^2))=2f(x)`

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`f(y)=log((1+y)/(1-y))`
`y=(2x)/(1+x^2)`
`f((2x)/(1+x^2))=log((1+((2x)/(1+x^2)))/(1-(2x)/(1+x^2)))`
`=log((1+x^2+2x)/(1+x^2-2x))`
`=log((1+x^2)/(1-x^2))`
`=2log((1+x)/(1-x))`.
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