Determine the domain of the function of two variables $f (x, y) = \sqrt{y + x}$ .
The domain is ${(x, y)$
(Type an inequality. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the inequality.)

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Answer

$The domain of the function is {(x, y) | x + y \geq 0}$

Steps

Step 1 ：Determine the domain of the function of two variables $f (x, y) = \sqrt{y + x}$ .

Step 2 ：The domain is the set of all $(x, y)$ that satisfy the inequality $x + y \geq 0$ .

Step 3 ： $The domain of the function is {(x, y) | x + y \geq 0}$