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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2009

  • question_answer
    If\[f(x)=sin\text{ }x+cos\text{ }x+1\]and \[g(x)={{x}^{2}}+x,\text{ }x\in R,\]then value of\[fog(x)\]at \[x=0\]is

    A)  0      

    B)  1        

    C)  2     

    D)  3

    Correct Answer: C

    Solution :

     Given, \[f(x)=\sin x+\cos x+1,g(x)={{x}^{2}}+x\] \[fog(x)=f(g(x))=f({{x}^{2}}+x)\] \[=\sin ({{x}^{2}}+x)+\cos ({{x}^{2}}+x)+1\] At        \[x=0,\] \[fog(x)=\sin (0)+\cos 0+1\] \[=0+1+1=2\]


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