Find the Domain y=-1/5x+2

Problem

y=−1/5*x+2

Solution

1. Identify the type of function. The given equation y=−1/5*x+2 is a linear function.

2. Check 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 this is a polynomial of degree 1, there are no denominators containing x and no radicals.

4. Conclude the domain. Because there are no values of x that make the expression undefined, the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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