Find the Domain 3x-y=4

Problem

3*x−y=4

Solution

1. Identify the type of equation. The equation 3*x−y=4 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. Subtract 3*x from both sides and multiply by −1

−y=−3*x+4

y=3*x−4

3. Analyze the resulting function ƒ(x)=3*x−4 This is a polynomial function of degree 1. Polynomial functions are defined for all real numbers because there are no denominators that could be zero and no even roots of negative numbers.

4. Determine the domain. Since any real number x can be substituted into the equation to produce a valid real number y the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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