If g f (x) = |sin x| and f g (x) = ( x )^ 2 , then

Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions

1. \(f(\mathrm{x})=\sin ^{2} \mathrm{x}, \mathrm{~g}(\mathrm{x})=\sqrt{\mathrm{x}}\)
2. \(f(\mathrm{x})=\sin \mathrm{x}, \mathrm{~g}(\mathrm{x})=|\mathrm{x}|\)
3. \(f(\mathrm{x})=\mathrm{x}^{2}, \mathrm{~g}(\mathrm{x})=\sin \sqrt{\mathrm{x}}\)
4. f and g cannot be determined

Answer

(A) f( x )= ^ 2 x , ~g ( x )= x

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