Identify the discontinuity and zero of the function f(x) = 3x/x^2-9

Question

Identify the discontinuity and zero of the function f(x) = 3x/x^2-9

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Isabelle 6 days 2021-10-13T05:57:01+00:00 1 Answer 0

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    2021-10-13T05:58:01+00:00

    ANSWER

    Point if discontinuity:

    {x}=  \pm3

    Zero of the function is

    x = 0

    EXPLANATION

    The given rational function is:

    f(x) =  \frac{3x}{ {x}^{2}  - 9}

    This function is not continous when

     {x}^{2}  - 9 = 0

     {x}=  \pm \sqrt{9}

    {x}=  \pm3

    The function is zero when,

    3x = 0

    x = 0

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