JEE MATHEMATICS MCQ: FUNCTIONS

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Which of the following is an even function?

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Correct option: B

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

Option B (

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

) is correct because

f(-x) = f(x)

, which is the definition of an even function.

More Questions from FUNCTIONS

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

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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\}