Find the Domain -(-3x+(-x-2y-3))+(-(2x+y)+(-x-3))*2-x+y

Problem

−(−3*x+(−x−2*y−3))+(−(2*x+y)+(−x−3))⋅2−x+y

Solution

1. Identify the type of expression provided. The expression is a polynomial in terms of x and y

2. Analyze the components for any restrictions. Polynomials consist of terms with variables raised to non-negative integer powers, combined using addition, subtraction, and multiplication.

3. Check for operations that restrict the domain, such as division by zero, square roots of negative numbers, or logarithms of non-positive numbers. None of these operations are present in this expression.

4. Determine the domain based on the properties of polynomials. Since there are no denominators, radicals, or transcendental functions with restricted domains, the expression is defined for all real values of x and y

Final Answer

Domain: *{(x,y)|x∈ℝ,y∈ℝ}

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