1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Point discontinuity problem

  1. Sep 12, 2013 #1
    1. The problem statement, all variables and given/known data

    Find the value of p at which the discontinuity would occur.


    2. Relevant equations

    f(x) = x^2 - 6x + 9 / x - p

    3. The attempt at a solution

    Able to solve if p has an assigned numerical value, but help is needed for determining the value of p at which the discontinuity would occur. Any help is appreciated. Thank you.
     
  2. jcsd
  3. Sep 12, 2013 #2

    pasmith

    User Avatar
    Homework Helper

    Factorize [itex]x^2 - 6x + 9[/itex].
     
  4. Sep 12, 2013 #3
    Okay. Thanks; once I have done that, how would I solve for p?
     
  5. Sep 12, 2013 #4

    pasmith

    User Avatar
    Homework Helper

    If you haven't yet found the answer to your other problem, I would suggest you do that and then come back to this problem, at which point the solution will hopefully be obvious.

    In any event I would recommend re-reading the material on which these problems are based, since you don't seem to be fully comfortable with it.
     
  6. Sep 12, 2013 #5
    A discontinuity occurs when you cannot determine the function value at a certain argument(x) value. There's an operation only Chuck Norris can do..or so they say.

    X-p , you know that there is one value that it can't have since it's in the denominator.
    You also know that the function at 1st glance Could be 0 when X=?? according to the numerator.

    What's the 1 value that cannot be P? Everything else can. Think of a hyperbole.
     
    Last edited: Sep 12, 2013
  7. Sep 12, 2013 #6

    Ray Vickson

    User Avatar
    Science Advisor
    Homework Helper

    As in your other posting: you need parentheses! If I read what you wrote using standard rules for mathematical expressions, I would see
    [tex] f(x) = x^2 - 6x + \frac{9}{x} - p.[/tex]
     
    Last edited: Sep 12, 2013
  8. Sep 13, 2013 #7
    Ray Vickson, (x^2 - 6x + 9) / (x - p)
    Thank you all for your help.
     
  9. Sep 13, 2013 #8
    The thing is, we have not gone over this material at all.
     
  10. Sep 13, 2013 #9
    I have solved the problem. Thank you everyone.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Point discontinuity problem
  1. Fixed Point Problems (Replies: 3)

Loading...