Find the Domain y=4x+1

Problem

y=4*x+1

Solution

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

2. Check for restrictions. Polynomial functions do not contain variables in denominators (which would cause division by zero) or variables inside even-indexed roots (which would require non-negative radicands).

3. Determine the input values. Since there are no mathematical operations that restrict the value of x the variable x can be any real number.

4. Express the domain. In interval notation, the set of all real numbers is written as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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