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Domain of z= ln ( (x^2) + (y^2) )

  1. Oct 6, 2016 #1
    1. The problem statement, all variables and given/known data
    the given ans is x ≠ 0 , y ≠ 0 , the ans given is x ≠ 0 , y ≠ 0 . I dont understand the ans , why the author leave the ans like this ?

    IMO , x can be 0 as long as y not = 0
    y also can be 0 , as long as x not = 0 ,


    by giving the ans in x ≠ 0 , y ≠ 0 , the author just rule out the possibility above ?

    2. Relevant equations


    3. The attempt at a solution
     
  2. jcsd
  3. Oct 6, 2016 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    I guess "x ≠ 0 , y ≠ 0" was meant as "x ≠ 0 or y ≠ 0". The comma is misleading here.
     
  4. Oct 6, 2016 #3

    Mark44

    Staff: Mentor

    I agree. A comma is typically used as shorthand for "and".
     
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