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Finding the domain of this function

  1. Apr 26, 2013 #1
    1. The problem statement, all variables and given/known data
    Find the domain of 1/(sqrt(2x)-1)2
    Note: the minus one is not included under the square root

    2. Relevant equations

    3. The attempt at a solution

    So the denominator cannot be zero

    so that means that sqrt(2x) cannot equal 1
    x cannot be 1/2

    letting the denominator be greater than 0 gets me x is greater than 1/2

    my calculator says x is equal to or greater than 0 but cannot be 1/2

    Where did the equal to greater than 0 part come from?
  2. jcsd
  3. Apr 26, 2013 #2


    Staff: Mentor

    From the square root. The argument of a square root can't be negative, so you need 2x ≥ 0.
  4. Apr 26, 2013 #3


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    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    Why are you concerned about the denominator being greater than zero?
  5. May 8, 2013 #4
    The simplest way is, with the answer provided, plug in x=-1 and x=1/2 and you should know why.
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