What Values of (x, y) Make f(x, y) = 1/(x - y^2) Undefined?

  • Thread starter Thread starter M.Qayyum
  • Start date Start date
  • Tags Tags
    Domain
M.Qayyum
Messages
13
Reaction score
0
Here is my question, that what is the domain of f, while
f(x,y)=1/(x-y2)
 
Physics news on Phys.org
Ask yourself this question, and you'll have answered your own question:

For what values of (x,y) is f(x,y) undefined?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top