Find the Domain x^2-2y

Problem

ƒ(x,y)=x2−2*y

Solution

1. Identify the type of function provided. The expression x2−2*y is a polynomial function of two variables, x and y

2. Check for restrictions such as denominators that could be zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Determine that there are no such restrictions in this expression, as subtraction and squaring are defined for all real numbers.

4. Conclude that the domain consists of all possible ordered pairs of real numbers (x,y)

Final Answer

Domain={(x,y)∈ℝ2}

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