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NDA 2015

Exam: NDA
Year: 2015
Subject: Mathematics
Chapter: Functions

NDA 2015 · Mathematics · Functions

If f(x)= _e((1+x)/(1-x)), g(x)=(3 x+x^3)/(1+3 x^2) and g ^...

If

f(x)=\log _e\left(\frac{1+x}{1-x}\right), g(x)=\frac{3 x+x^3}{1+3 x^2}

and

g {}^{\circ} f(t)=g(f(t))

, then what is

g {}^{\circ} f \left(\frac{e-1}{e+1}\right)equal to?

Options

A2
B1
C0
D $\frac{1}{2}$

Correct answer

B. 1

Step-by-step solution

The correct answer is option (B).

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