Find the Domain x+3y=4

Problem

x+3*y=4

Solution

1. Identify the type of equation. The equation x+3*y=4 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

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

3*y=−x+4

y=−1/3*x+4/3

3. Analyze the resulting function ƒ(x)=−1/3*x+4/3 This is a polynomial function of degree 1.

4. Determine any restrictions on the input x Since there are no denominators containing x no square roots of negative numbers, and no logarithms, x can be any real number.

5. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain:(−∞,∞)

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