Find the Domain 6x-36y=36

Problem

6*x−36*y=36

Solution

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

2. Determine the definition of the domain. In the context of a function y=ƒ(x) the domain is the set of all possible input values for x that result in a real output for y

3. Solve for y in terms of x to check for restrictions.

−36*y=−6*x+36

y=(−6*x+36)/(−36)

y=1/6*x−1

4. Analyze the resulting expression. Since y=1/6*x−1 is a polynomial (specifically a linear function), there are no square roots of negative numbers, no divisions by zero, and no logarithms.

5. Conclude that x can be any real number.

Final Answer

Domain: *(−∞,∞)

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