Find the Domain x+3y=6

Problem

x+3*y=6

Solution

1. Identify the type of equation. The equation x+3*y=6 represents a linear function in two variables.

2. Solve for y to express the equation in slope-intercept form.

3*y=−x+6

y=−1/3*x+2

3. Analyze the resulting function. The expression −1/3*x+2 is a polynomial of degree 1.

4. Determine the domain. Since there are no square roots of negative numbers, no divisions by zero, and no logarithms of non-positive numbers, the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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