Find the Domain 7x-2y=14

Problem

7*x−2*y=14

Solution

1. Identify the type of equation. The given equation 7*x−2*y=14 is a linear equation in two variables.

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

−2*y=−7*x+14

y=7/2*x−7

3. Analyze the resulting function ƒ(x)=7/2*x−7 This is a linear function, which is a type of polynomial.

4. Determine the domain. Polynomial functions are defined for all real numbers because there are no denominators containing x that could be zero and no square roots of negative numbers.

5. Express the domain in interval notation. Since x can be any real number, the domain is (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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