12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-4

  • question_answer
    The domain of the function \[f(x)=si{{n}^{-1}}\left( \frac{1+{{x}^{3}}}{2{{x}^{3/2}}} \right)\]\[+\sqrt{\sin \,(sin\,x)}+\,{{\log }_{(3\{x\}+1)}}({{x}^{2}}+1)\] where {.} represents fractional part function, is ___.

    A)  \[\{1\}\]                       

    B)  \[R-\{1,-1\}\]

    C)  \[x>3,x\notin 1\]          

    D)  None of these

    Correct Answer: D


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