If f(x)="log"e((1-x)/(1+x)),|X|lt1, then...

If `f(x)="log"e((1-x)/(1+x)),|X|lt1`, then
`f(2x)/(1+x^(2))` is equal to:

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The correct Answer is:

B

`f((2x)/(1+x^2))=ln((1-(2x)/(1+x^2))/(1+(2x)/(1+x^2)))`
`ln.(((x-1)^2)/((x+1)^2))=2ln|(x-1)/(x+1)|`
`=2ln((1-x)/(1+x))=2f(x)`

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