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Given function $f(x)=log\frac{1+x}{1-x} and g(x)=\frac{3x+x^{2}}{1+3x^{2}}$ then (fog)(x)

1. -f(x)
2. f(x)
3. [f(x)]3
4. None of these

asked in Set Theory & Algebra by Veteran (15.1k points)  
edited by | 92 views
we need to find "(fog)gx" or "(fog)x" ?
@anusha it will be "(fog)x"
answer not matching with option 1.2.3.??
@kunal @anusha
can you please post your solution, how did you calculate (fog)(x)? I am more interested in knowing what will be
(fog)(x)?

afterwards i am not able to simplify further 

Sir u did a  bit mistake. Mistakenly, u have taken numerator within log as 1 + (3x + 3x2)/(1 + 3x2) but it is 1 + (3x + x2)/(1 + 3x2).

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