Find the Domain 9x-3y=-14

Problem

9*x−3*y=−14

Solution

1. Identify the type of equation. The equation 9*x−3*y=−14 is a linear equation in two variables.

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

−3*y=−9*x−14

3. Divide both sides by −3

y=3*x+14/3

4. Analyze the resulting function ƒ(x)=3*x+14/3 This is a polynomial function of degree 1.

5. Determine the domain. Since there are no denominators containing x and no square roots of negative values, the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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