Find the Domain 3x+4y=6

Problem

3*x+4*y=6

Solution

1. Identify the type of equation. This is a linear equation in two variables, which represents a straight line in the Cartesian plane.

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

4*y=−3*x+6

y=−3/4*x+6/4

y=−3/4*x+3/2

3. Analyze the resulting function. The expression −3/4*x+3/2 is a polynomial of degree 1.

4. Determine the constraints. Since there are no denominators containing x and no even roots, the expression is defined for all real numbers.

5. State the domain in interval notation. The domain is the set of all possible input values for x

Final Answer

Domain:(−∞,∞)

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