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JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relation and Functions-II

  • question_answer
    If \[f:R\to R\] is given by \[f(x)=\frac{{{x}^{2}}-4}{{{x}^{2}}+1},\] then the function f is

    A) many-one onto

    B) many-one into

    C) one-one into

    D) one-one onto

    Correct Answer: A

    Solution :

    [a] \[f(x)=f(-x).\]So, f is many-one. Also \[f(x)=1-\frac{5}{{{x}^{2}}+1}>1-5=-4\] So, f is into


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