Find the Domain y=2x+5

Problem

y=2*x+5

Solution

1. Identify the type of function. The given equation y=2*x+5 is a linear function, which is a specific type of polynomial function.

2. Check for restrictions. In a polynomial function, there are no denominators containing variables (which could lead to division by zero) and no even-indexed roots (which could lead to imaginary numbers).

3. Determine the set of possible input values. Since any real number can be multiplied by 2 and then added to 5 to produce a real output, 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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