Question

Find the domain of this function:
f(x,y) = \frac{\sqrt{x-y}}{\sqrt{x+y}}

Answer 1

\[f(x,y) = \frac{\sqrt{x-y}}{\sqrt{x+y}}\]

Answer 2

solve x-y>=0 and x+y>0 and then intersect.

Answer 3

like, x>=y and x>-y ?

Answer 4

right. you should draw those in a plane.

Answer 5

I realize that the numerator cannot have a negative square root, and the denominator cannot have a negative or zero square root.

Answer 6

u r right.

Answer 7

is this our set of domains then?