Find the Domain 3x-4y=-8

Problem

3*x−4*y=−8

Solution

1. Identify the type of equation provided. The equation 3*x−4*y=−8 is a linear equation in two variables.

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

4*y=3*x+8

y=3/4*x+2

3. Analyze the resulting function ƒ(x)=3/4*x+2 This is a linear function, which is a type of polynomial function.

4. Determine the constraints on the input variable x Since there are no denominators containing x no square roots of negative numbers, and no logarithms, x can be any real number.

5. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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