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JEE MATHEMATICS MCQ: FUNCTIONS

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If f(x)=xn,n∈N  and  gof(x)=n  g(x),f\left( x \right) = {x^n},n \in N\;and\;\mathrm{g}of\left( x \right) = n\;\mathrm{g}\left( x \right), then g(x)\mathrm{g}\left( x \right) can be
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Correct option: D
log⁡∣x∣\log \left| x \right|
Option D (log⁡∣x∣\log \left| x \right|) is correct because it satisfies the given functional equation gof(x)=n  g(x)\mathrm{g}of\left( x \right) = n\;\mathrm{g}\left( x \right).

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