Find the Domain -3x+2y=2

Problem

−3*x+2*y=2

Solution

1. Identify the type of equation. The equation −3*x+2*y=2 is a linear equation in two variables.

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

2*y=3*x+2

y=3/2*x+1

3. Analyze the resulting function ƒ(x)=3/2*x+1 This is a polynomial function of degree 1.

4. Determine the restrictions. Since there are no denominators containing x no square roots of negative numbers, and no logarithms, the function is defined for all real numbers.

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

Final Answer

Domain: *(−∞,∞)

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