Find the Domain x-y=2

Problem

x−y=2

Solution

1. Solve for y to express the equation as a function of x

y=x−2

2. Identify the type of function.
   The equation y=x−2 is a linear function.

3. Determine any restrictions on the input variable x
   In a linear function, there are no denominators containing x and no square roots of negative values.

4. Conclude the domain.
   Since there are no restrictions, x can be any real number.

Final Answer

Domain: *(−∞,∞)

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