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JEE Advanced Mathematics question

MathematicsFunctionJEE Advanced

If and are two functions of such that and then

Answer: (B),(C)

Solution

Adding and subtracting the two equations:

f(x)=Missing argument for \frac\frac{e^x+e^{-x}}2, g(x)=Missing argument for \frac\frac{e^x-e^{-x}}2.

Then , so is even,

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Question ID VK-109198