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    lilbird1023's Avatar
    lilbird1023 Posts: 2, Reputation: 1
    New Member
     
    #1

    Jan 28, 2008, 06:13 PM
    I don't get how to find the domain in interval notation?
    y=x+2
    ------
    x2-1
    jiten55's Avatar
    jiten55 Posts: 105, Reputation: 8
    Junior Member
     
    #2

    Jan 28, 2008, 07:31 PM
    If you mean 2 different functions, (x + 2) and (x^2 -1), they being defined for all real numbers, their domain is (-infinity, +infinity).


    If you mean y = (x + 2)/(x^2 -1)


    The function is not defined when the denominator is zero,
    i.e. when x^2 = 1

    or x = 1, -1


    The domain is all real numbers except 1 and -1.

    Hence domain cannot be written as a single interval, but as a union of the following:

    (-infinity, -1), (-1, 1), (1, infinity)

    All being open intervals. (hence -1, 1 are not included in these intervals)
    lilbird1023's Avatar
    lilbird1023 Posts: 2, Reputation: 1
    New Member
     
    #3

    Jan 28, 2008, 08:38 PM
    Thanks, it was the second I just get confused on the actual definition of domain, I think it's finding what doesn't come out to zero, but I'm probably wrong.
    gkmartin1962's Avatar
    gkmartin1962 Posts: 1, Reputation: 1
    New Member
     
    #4

    Dec 3, 2011, 02:25 PM
    f(x)= 3x-1

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