Find the Domain y=ax+b

Problem

y=a*x+b

Solution

1. Identify the type of function. The expression y=a*x+b is a linear function, where a and b are constants.

2. Analyze the expression for restrictions. A function's domain is restricted if there are denominators that could be zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Determine the constraints. Since a*x+b is a polynomial of degree one, it is defined for all real numbers x There are no values of x that would make the expression undefined.

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

Final Answer

Domain:(−∞,∞)

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