Find the Domain y=3x-6

Problem

y=3*x−6

Solution

1. Identify the type of function. The given equation y=3*x−6 is a linear function, which is a specific type of polynomial function.

2. Check for restrictions. In a polynomial function, there are no denominators containing variables (which could lead to division by zero) and no even-indexed roots containing variables (which could lead to non-real numbers).

3. Determine the domain. Since there are no values of x that make the expression undefined or non-real, the function is defined for all real numbers.

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

Final Answer

Domain:(−∞,∞)

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