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Math Help - Finding domain interval of function

  1. #1
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    Finding domain interval of function

    The domain of f(x) = √(4 - x2) / √(x2 - 1) is given by the interval

    The answer is
    E) [-2 , -1) U (1 , 2]

    I found the domain of the top and bottom. Top was -2<x<2 (greater than or equal to)

    and for the bottom x>1 or x<-1
    If x is greater than 1, then it has to be 2, and if x is less than -1, then it has to be -2, right? I am a tad confused.
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  2. #2
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    Re: Finding domain interval of function

    Quote Originally Posted by benny92000 View Post
    [FONT=Arial][SIZE=-0]The domain of f(x) = √(4 - x2) / √(x2 - 1) is given by the interval
    Let N=[-2,2]~\&~D=(-\infty,-1)\cup (1,\infty).
    What is N\cap D~?
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