Find the Domain y=x-3

Problem

y=x−3

Solution

1. Identify the type of function. The given equation y=x−3 is a linear function, which is a specific type of polynomial function.

2. Analyze the expression for any restrictions. Domain restrictions typically occur with denominators (which cannot be zero), even roots (where the radicand must be non-negative), or logarithms (where the argument must be positive).

3. Determine the constraints. Since there are no fractions, roots, or logarithms in the expression x−3 the variable x can take any real number value.

4. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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