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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

If

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

and

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

, then

(f \circ g)(x)

is equal to

View answer and explanation

Correct option: A

3 f(x)

Option A (

3 f(x)

) is correct because the composition

(f \circ g)(x)

simplifies to

3 \log_e(\frac{{1+x}}{{1-x}})

, which is

3f(x)

.

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