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!

Functions with multiple variables

  1. Sep 29, 2007 #1
    1. The problem statement, all variables and given/known data

    I have a function f(x,y,z) = 1/(x^2+y^2+z^2). I have to find the domain.
    It is R^3, but x^2+y^2+z^2 != 0. How do I write that and am I correct?
     
  2. jcsd
  3. Sep 29, 2007 #2
    you're right. Think where are the points with x^2+y^2+z^2=0.
    You can write the domain as: [tex]\mathbb{R}^3 \setminus{\{0,0,0\}}[/tex]
     
  4. Sep 29, 2007 #3

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Or:
    [tex]\{ (x,y,z)| x^2+ y^2+ z^2\ne 0 \}[/tex]
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?