Find the Domain y-x=3

Problem

y−x=3

Solution

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

y=x+3

2. Identify the type of function.

y=x+3

This is a linear function.

3. Determine if there are any restrictions on the input variable x such as division by zero or square roots of negative numbers.
   Since there are no denominators or radicals, x can be any real number.

4. State the domain in interval notation.
   The domain is all real numbers.

(−∞,∞)

Final Answer

Domain:(−∞,∞)

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