Find the Domain 3x+1y=3

Problem

3*x+1*y=3

Solution

1. Identify the type of equation provided. This is a linear equation in two variables, x and y which represents a straight line in the Cartesian plane.

2. Solve for y in terms of x to express the relation as a function.

1*y=3−3*x

y=−3*x+3

3. Analyze the resulting function ƒ(x)=−3*x+3 This is a polynomial function of degree 1. Polynomial functions are defined for all real numbers because there are no denominators that could be zero and no even-indexed roots of negative numbers.

4. Determine the domain. Since there are no restrictions on the values that x can take, the domain consists of all real numbers.

Final Answer

Domain:(−∞,∞)

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