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.)

Answer

Expert–verified

Hide Steps

Answer

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

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