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

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