Find the Domain 2x-3y

Problem

2*x−3*y

Solution

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

2. Determine if there are any restrictions on the variables. Restrictions typically occur with denominators (which cannot be zero), square roots of negative numbers, or logarithms of non-positive numbers.

3. Analyze the expression for these restrictions. Since there are no fractions, roots, or logarithms, the variables x and y can take any real value.

4. State the domain in terms of set notation or the Cartesian plane. The domain consists of all ordered pairs (x,y) in the set of real numbers ℝ2

Final Answer

Domain={(x,y)∈ℝ2}

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