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JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    The composite mapping \[fog\]of the map \[f:R\to R\], \[f(x)=\sin x\], \[g:R\to R\], \[g(x)={{x}^{2}}\]is [UPSEAT 2000]

    A)                    \[\sin x+{{x}^{2}}\]

    B)            \[{{(\sin x)}^{2}}\]

    C)                    \[\sin {{x}^{2}}\]

    D)            \[\frac{\sin x}{{{x}^{2}}}\]

    Correct Answer: C

    Solution :

               \[f:R\to R,\,\,f(x)=\sin x\] and \[g:R\to R,\,\,g(x)={{x}^{2}}\]                    Þ \[fog(x)=f(g(x))=f({{x}^{2}})=\sin {{x}^{2}}\].


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