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I am wondering how to express the domain of a two-variable function f(x,y) as below.

For any given y, f(x,y) is defined on [0, g(y)); for any given x, f(x,y) is defined on [0, h(x)). Then how should I specify the domain for the function f(x,y)?

To be more specific, f(x,y)=x+y, and for any given y, it is defined on [0, y); for any given x, it is defined on [0, x). I want to know what is the domain of f(x,y).

Thanks.

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# How to define the domain of a 2-variable function as this?

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