Find the Domain y=3x+5

Problem

y=3*x+5

Solution

1. Identify the type of function. The given equation y=3*x+5 is a linear function, which is a specific type of polynomial function.

2. Check for restrictions. Polynomial functions do not contain any operations that restrict the input x such as division by zero (denominators) or taking the square root of a negative number (even roots).

3. Determine the set of all possible input values. Since any real number can be multiplied by 3 and then added to 5 the domain consists of 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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