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JEE MATHEMATICS MCQ: FUNCTIONS

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The composite mapping f∘gf \circ g of the maps f:R→R,f(x)=sin⁡x,g:R→R,g(x)=x2f: R \rightarrow R, f(x)=\sin x, g: R \rightarrow R, g(x)=x^2 is
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Correct option: C
sin⁡x2\sin x^2
Option C (sin⁡x2\sin x^2) is correct because the composite mapping f∘gf \circ g is defined as f(g(x))f(g(x)), which means we substitute g(x)=x2g(x) = x^2 into f(x)=sin⁡xf(x) = \sin x, resulting in sin⁡(x2)\sin(x^2).

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