Find the Domain y=3x-2

Problem

y=3*x−2

Solution

1. Identify the type of function. The given equation y=3*x−2 is a linear function, which is a specific type of polynomial function.

2. Determine if there are any restrictions. For polynomial functions, there are no denominators that could be zero and no even-indexed roots (like square roots) that could have negative radicands.

3. Conclude the set of possible inputs. Since any real number can be multiplied by 3 and then have 2 subtracted from it, the variable x can be any real number.

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

Final Answer

Domain: *(−∞,∞)

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