The range of the function $f(x)=x(\log x)^2$ is

JEE MATHEMATICS MCQ: FUNCTIONS

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The range of the function

f(x)=x(\log x)^2

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Correct option: B

\left[0,4 e^{-2}\right]

Option B ([0,4e^-2]) is correct because the range of the function is between 0 and 4e^-2, inclusive.

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

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f^{-1}(x)

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f(g(x))=(\sin \sqrt{x})^2

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

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

f: R \rightarrow R

f(x)=x^4

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