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If f(x)=log((1+x)/(1-x))andg(x)=(3x+x^(3...

If `f(x)=log((1+x)/(1-x))andg(x)=(3x+x^(3))/(1+3x^(2))`, then `f(g(x))` is equal to :

A

`3/(1+9x^(2)) for all x in R`

B

`3/(1+x^(2)) for all x in R

C

`3/(1+x^(2)) for all x in R -{-1/sqrt3, 1/sqrt3}`

D

`1/(9+x^(2))`

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Verified by Experts

The correct Answer is:
C
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