Find the Domain 3x-9y=15

Problem

3*x−9*y=15

Solution

1. Identify the type of equation. The equation 3*x−9*y=15 is a linear equation in two variables.

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

3*x−9*y=15

−9*y=−3*x+15

y=(−3*x+15)/(−9)

y=1/3*x−5/3

3. Analyze the resulting function. The expression y=1/3*x−5/3 is a polynomial of degree 1 (a linear function).

4. Determine the constraints. 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. State the domain in interval notation. Since there are no restrictions on the input x the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!