Im having some problem figuring out the domain for a function:
$f(x,y)=(\sqrt {x+y},\sqrt {x-y})$
Since the square root is involved, i must have the expression within them >= 0, therefore i set up the following inequlities:
$x-y\geqslant0$
$x+y\geqslant0$ <--- is this one neccesary?
So my main problem, besides deciding whether or not it has an inverse, is that im unsure if i need to include the $x+y\geq 0$ constrain? or is $x-y\geq 0$ simply enough in this case.
Best Regards
Joe