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Question

Given, f(x) = log1+x1−x and g(x) =3x+x31+3x2 then (fog) (x) equals

A
-f(x)
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B
3f(x)
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C
[f(x)]3
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D
None of these
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Solution

The correct option is B 3f(x)
(fog)(x)=f(g(x))=f(3x+x31+3x2)=log 1+3x2+3x+x31+3x23xx3=log (1+x)3(1x)3=3 f(x)

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