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Thread: Finding the Domain

  1. #1
    Jun 2007

    Finding the Domain

    Find the domain of the following functions:

    1) h(x)= 1/ 4sqrt(x^2-5x)
    2) f(t)= t^2 - 6t
    3) H(t)= (4-t^2)/ (2-t)

    Any help would be appreciated.
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  2. #2
    Super Member 11rdc11's Avatar
    Jul 2007
    New Orleans
    For the 1st problem when the radical in denominator is not 0 or less than 0

    For the 3rd problem factor the the numerator
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  3. #3
    Sep 2008

    Thumbs up

    becuase its under radical then it might be (x^2 - 5x >= 0) and because its in denominator then i(x^2 - 5x > 0).

    Now we solve this inequality. To solve it we finds the roots of this inequality. To find the roots we set it
    (x^2 - 5x = 0) => and we finds roots (x1 = 0)(x2 = 5) and now we find the sign through a scatterpoint and after that we realize that x>5 OR x<0 OR we can say that: x IS (-inf , 0) U (5,+inf)

    Because its an linear equation, the domain is (R)

    because its fraction then the denominator should not be equal to 0 thats why we put : 2-t != 0 and we get t=2
    Df = R - {2}

    Try to resolve it by yourself
    good luck
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