Find the Domain -x=3y+10

Problem

−x=3*y+10

Solution

1. Identify the type of equation. The equation −x=3*y+10 is a linear equation in two variables.

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

3*y=−x−10

y=(−x−10)/3

3. Analyze the resulting function ƒ(x)=−1/3*x−10/3 This is a polynomial function of degree 1.

4. Determine if there are any restrictions. Polynomial functions are defined for all real numbers because there are no denominators containing x and no even roots of negative expressions.

5. State the domain in interval notation. Since there are no restrictions, the domain is all real numbers.

Final Answer

Domain:(−∞,∞)

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