Find the Domain -x+3y=9

Problem

−x+3*y=9

Solution

1. Identify the type of equation. The given equation −x+3*y=9 is a linear equation in two variables.

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

3*y=x+9

y=1/3*x+3

3. Analyze the resulting function ƒ(x)=1/3*x+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 that could be zero and no even roots of negative numbers.

5. Conclude that the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!