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Find the Domain x/3-y/6=1

Problem

x/3−y/6=1

Solution

  1. Identify the type of equation. This is a linear equation in two variables, x and y

  2. Analyze the expression for restrictions. The expression x/3−y/6=1 consists of polynomial terms (linear fractions with constant denominators).

  3. Determine if there are any values of x that would make the expression undefined. Since there are no variables in denominators and no square roots of negative numbers, x can be any real number.

  4. Conclude that the domain of the relation, when expressed as a function of x is the set of all real numbers.

Final Answer

Domain:(−∞,∞)


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