# domain

• Oct 29th 2009, 09:07 PM
cottekr
domain
what is the domain of f for f(x,y) = (x^2y-3y)/x^2+y^2-1 ?

I know that the denominator cannot equal 0, so x^2+y^2 cannot equal 1 but I'm not sure how to express that
• Oct 30th 2009, 06:40 AM
Amer
Quote:

Originally Posted by cottekr
what is the domain of f for f(x,y) = (x^2y-3y)/x^2+y^2-1 ?

I know that the denominator cannot equal 0, so x^2+y^2 cannot equal 1 but I'm not sure how to express that

the domain is whole R^2 except the the point in the circle (in the circumference ) of the circle $x^2+y^2=1$