JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

f(x)=\log \left(\frac{1+x}{1-x}\right)

and

g(x)=\frac{3 x+x^3}{1+3 x^2}

, then

f(g(x))

is equal to

View answer and explanation

Correct option: C

3 f(x)

Option C (

3 f(x)

) is correct because substituting g(x) into f(x) and simplifying results in 3 times f(x).

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