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Math Help - Doman interval notation

  1. #1
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    Doman interval notation

    Express the domain interval notaton.

     H(x) = \frac {t}{\sqrt (t^2-t-6)}

    What I did is factor  t^2-t-6

     (t-3)(t+2)

    then using interval notation.

    (t-3)(t+2) ≤0

    t-3 ≤ t-2 ???

    am i doing right thing?
    Last edited by Anemori; February 25th 2010 at 04:04 PM.
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  2. #2
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    Quote Originally Posted by Anemori View Post
    Express the domain interval notaton.

     H(x) = \frac {t}{\sqrt (t^2-t-6)}

    What I did is factor  t^2-t-6

     (t-3)(t+2)

    then using interval notation.

    (t-3)(t+2) ≤0

    t-3 ≤ t-2 ???

    am i doing right thing?
    H(t) is defined for values of t such that t^2-t-6 > 0

    (t-3)(t+2) > 0

    now think about where the graph of t^2 - t - 6 is positive ...

    domain ... (-\infty,-2) \cup (3, \infty)
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