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Math Help - How do i calculate the range of a function

  1. #1
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    How do i calculate the range of a function

    Find the range of f(x)=(x^(2)-9)/(x-3)

    I know I could just sub in 2.999 and 3.001 but is there a way to algebraically calculate the range?

    So far i have tried: f(x)=((x+3)(x-3))/(x-3)=x+3
    f(3)=0 .: range (-infinity,0)U(0,infinity) whereas from my subbing in estimate I obtained range ~ (-infinity,6)U(6,infinity).

    Anyone mind helping me out here / nudging me in the right direction?

    Thanks in advance.
    Last edited by Swiftspice; August 21st 2013 at 07:00 PM.
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  2. #2
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    Re: How do i calculate the range of a function

    First you need to find the domain {x element R : x!=3} (!= is not equal)
    so we just plug in those values we can get the range of the function
    which is {f element R : f!=6}
    Thanks from Swiftspice
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  3. #3
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    Re: How do i calculate the range of a function

    Sorry, my bad. I just realised I was subbing x into x-3 instead of x+3. Thanks for your help
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