JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

Which of the following is an even function?

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Correct option: A

x\left(\frac{a^x-1}{a^x+1}\right)

The correct answer is A (

x(\frac{a^x-1}{a^x+1})

) because substituting -x into the function results in the same function, indicating even symmetry.

More Questions from FUNCTIONS

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f:(-\infty, 2] \longrightarrow(-\infty, 4]

f(x)=x(4-x)

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f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

f\left( x \right) = x - \left[ x \right]

{f^{ - 1}}\left( x \right)

f: R \rightarrow R

f(x)=x^4

f(x)=(x+1)^2-1(x \geq-1)

S=\left\{x: f(x)=f^{-1}(x)\right\}