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Find the Domain 2x-3y+6

Problem

2*x−3*y+6

Solution

  1. Identify the type of expression provided. The expression 2*x−3*y+6 is a linear polynomial in 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 the domain based on the lack of restrictions. Since polynomials are defined for all real numbers, there are no constraints on the values that x and y can take.

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

Final Answer

Domain={(x,y)∈ℝ2}


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