Find the Domain 4x-y=5

Problem

4*x−y=5

Solution

1. Identify the type of equation. The equation 4*x−y=5 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y to express the equation in slope-intercept form.

y=4*x−5

3. Analyze the resulting function ƒ(x)=4*x−5 This is a polynomial function of degree 1.

4. Determine the restrictions. Since there are no denominators containing variables and no even roots, the input 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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