JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2013

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

    A)  \[(1,\infty )\]                   

    B)  \[\left( 1,\frac{11}{7} \right)\]

    C)  \[\left( 1,\frac{7}{3} \right)\]                    

    D)  \[\left( 1,\frac{7}{5} \right)\]

    Correct Answer: C

    Solution :

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


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