Find the Domain 3xy+2(x^2+y^2)

Problem

3*x*y+2*(x2+y2)

Solution

1. Identify the type of function provided. The expression ƒ(x,y)=3*x*y+2*(x2+y2) is a polynomial function of two variables.

2. Determine if there are any restrictions on the variables. Polynomials do not contain divisions by zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Conclude that the function is defined for all real values of x and y

4. Express the domain using set-builder notation or as the set of all ordered pairs in the Cartesian plane.

Final Answer

Domain={(x,y)∈ℝ2}

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