JEE MATHEMATICS MCQ: FUNCTIONS

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The function

f(x)=\log \left(x+\sqrt{x^{2}+1}\right)

, is

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Correct option: C

an odd function

Option C is correct because f(-x) = -f(x), which satisfies the condition for an odd function.

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

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

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f(x)=x^4

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