Find the Domain 200*0.05+40=y

Problem

200⋅0.05+40=y

Solution

1. Identify the type of function represented by the equation. The equation y=200⋅0.05+40 is a constant function, which is a specific type of linear function.

2. Analyze the expression for any restrictions. In mathematics, restrictions on the domain typically arise from division by zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Determine if any such restrictions exist in this equation. Since the equation consists only of multiplication and addition of constants, there are no values of the independent variable that would make the expression undefined.

4. Conclude the domain. For any linear or constant function where no variable is restricted by the context of a real-world problem, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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