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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1
The function f(x)=log⁡(1+x1−x)f\left( x \right) = \log \left( {\frac{{1 + x}}{{1 - x}}} \right) satisfies the equation
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Correct option: C
f(x)+f(y)=f(x+y1+xy)f\left( x \right) + f\left( y \right) = f\left( {\frac{{x + y}}{{1 + xy}}} \right)
Option C (f(x)+f(y)=f(x+y1+xy)f(x) + f(y) = f(\frac{{x + y}}{{1 + xy}})) is correct because it satisfies the given functional equation.

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