Find the Domain 4x+9y=-19

Problem

4*x+9*y=−19

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. Determine the constraints on the independent variable x In a linear function, there are no square roots of negative numbers, no logarithms of non-positive numbers, and no denominators that could equal zero.

3. Analyze the input values. Since x can be any real number without causing the expression for y to be undefined, the domain consists of all real numbers.

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

Final Answer

Domain:(−∞,∞)

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