Find the Domain x^2+3y

Problem

ƒ(x,y)=x2+3*y

Solution

1. Identify the type of function provided. The expression ƒ(x,y)=x2+3*y is a polynomial function of two variables.

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

3. Determine the constraints. Since there are no fractions, roots, or logarithms, the variables x and y can take any real number value.

4. State the domain in terms of all possible ordered pairs (x,y) in the Cartesian plane.

Final Answer

Domain={(x,y)∈ℝ2}

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