Find the Domain 2x(3y*(4x))+3x(6y-4)

Problem

2*x*(3*y*(4*x))+3*x*(6*y−4)

Solution

1. Identify the type of expression provided. The expression 2*x*(3*y*(4*x))+3*x*(6*y−4) is a polynomial expression in two variables, x and y

2. Analyze the components for any restrictions. Polynomials consist of terms with variables raised to non-negative integer exponents and do not involve division by variables, square roots of negative numbers, or logarithms.

3. Determine the constraints. Since there are no denominators that could be zero and no radicals with even indices, the variables x and y can take any real number value.

4. State the domain in set notation or interval notation. For a polynomial in two variables, the domain is the set of all ordered pairs (x,y) in the Cartesian plane ℝ2

Final Answer

Domain:{(x,y)|x∈ℝ,y∈ℝ}

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