Find the Domain x-3y=-3

Problem

x−3*y=−3

Solution

1. Identify the type of equation. The equation x−3*y=−3 is a linear equation in two variables.

2. Solve for y to express the equation as a function of x

−3*y=−x−3

y=1/3*x+1

3. Analyze the resulting function. The expression 1/3*x+1 is a polynomial (specifically, a linear function).

4. Determine the constraints. Polynomials are defined for all real numbers because there are no denominators that could be zero and no even roots of negative numbers.

5. State the domain. Since there are no restrictions on the input x the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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