Determine the domain of the function of two variables.
$g (x, y) = \frac{7}{4 y - 2 x^{2}}$
${(x, y) ∣ y \neq$

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$The domain of the function g(x, y) is {(x, y) ∣ y \neq \frac{x^{2}}{2}}$

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Step 1 ：The function g(x, y) is defined for all real numbers except for those that make the denominator zero because division by zero is undefined in mathematics.

Step 2 ：The denominator of the function g(x, y) is $4 y - 2 x^{2}$ . Setting this equal to zero gives us the equation $4 y - 2 x^{2} = 0$ .

Step 3 ：Solving this equation for y gives us $y = \frac{x^{2}}{2}$ .

Step 4 ：Therefore, the domain of the function g(x, y) is all real numbers (x, y) except for those that satisfy the equation $y = \frac{x^{2}}{2}$ .

Step 5 ： $The domain of the function g(x, y) is {(x, y) ∣ y \neq \frac{x^{2}}{2}}$

Determine the domain of the function of two variables.g(x,y)=74y−2x2{(x,y)∣y≠

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Determine the domain of the function of two variables.
$g (x, y) = \frac{7}{4 y - 2 x^{2}}$
${(x, y) ∣ y \neq$