Find the Domain x-3y=1

Problem

x−3*y=1

Solution

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

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

−3*y=−x+1

y=1/3*x−1/3

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

4. Determine any restrictions. Since there are no denominators containing x no square roots of negative numbers, and no logarithms, the function is defined for all real numbers.

5. State the domain in interval notation. The domain includes all values from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

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