Find the Domain y=3x+1

Problem

y=3*x+1

Solution

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

2. Check for restrictions. In a real-valued function, restrictions on the domain typically occur if there are denominators (which cannot be zero) or even-indexed roots (where the radicand must be non-negative).

3. Determine the domain. Since there are no fractions or square roots in the expression 3*x+1 any real number can be substituted for x to produce a valid real number for y

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

Final Answer

Domain: *(−∞,∞)

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