Find the Domain y=6x+3

Problem

y=6*x+3

Solution

1. Identify the type of function. The given equation y=6*x+3 is a linear function, which is a specific type of polynomial function.

2. Check for restrictions. Polynomial functions do not have denominators containing variables (which could lead to division by zero) or even-indexed roots (which could lead to imaginary numbers).

3. Determine the set of possible input values. 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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