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Math Help - How can i solve this function?

  1. #1
    Newbie miladceph's Avatar
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    How can i solve this function?

    Hi guys,

    I have a question, I want to know how i can specify the domain of the following function? can anyone help me guys?

    f(x) = How can i solve this function?-codecogseqn.gif
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  2. #2
    MHF Contributor

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    Re: How can i solve this function?

    I presume you know that you cannot divide by 0 so where is 4- x^2= 0? Also, you cannot take the square root of a negative number. A fraction is positive if both numerator and denominator are positive or if both numerator and denominator are negative. So if x> 0 where is [itex]4- x^2[/itex] also positive? If x< 0 is where is [itex]4- x^2[/itex]?
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  3. #3
    Senior Member
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    Re: How can i solve this function?

    domain would be (-infinity,-2)U[0,2)
    easy prob find roots of numerator and denominator that come out to be 0,2,-2 now plot on number line with alternate signs with given intervals where positive thats ur domain part then union it
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