Find the Domain 6y-x=6

Problem

6*y−x=6

Solution

1. Identify the type of equation. The equation 6*y−x=6 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.

6*y=x+6

y=1/6*x+1

3. Analyze the resulting function. The expression 1/6*x+1 is a polynomial of degree 1.

4. Determine the domain. 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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