Find the Domain y=4x-2

Problem

y=4*x−2

Solution

1. Identify the type of function. The given equation y=4*x−2 is a linear function, which is a specific type of polynomial.

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

3. Determine the domain. Since there are no values of x that make the expression undefined, 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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