Find the domain of the function f(x,y) = square root(y) + square root(25-x^2 - y^2)

square root(y) is defined only when y equal or > then 0.

square root(25-x^2 - y^2) is defined only when 25> or equal to x^2+y^2

so the domain of f is {(x,y) | y>,eqaul to 0, x^2+y^2<,equal to 25}

Did I make a mistake here?