Find the Domain y=5x-1

Problem

y=5*x−1

Solution

1. Identify the type of function. The expression y=5*x−1 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 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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