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JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    Range of the function \[f(x)=\frac{{{x}^{2}}+x+2}{{{x}^{2}}+x+1};\ x\in R\] is            [IIT Screening 2003]           

    A)            \[(1,\ \infty )\]

    B)             \[(1,\ 11/7]\]

    C)            \[(1,\ 7/3]\]

    D)            \[(1,\ 7/5]\]

    Correct Answer: C

    Solution :

               \[f(x)=1+\frac{1}{{{\left( x+\frac{1}{2} \right)}^{2}}+\frac{3}{4}}\] Þ Range \[=(1,\,7/3]\].


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