Final answer:
The domain of the polynomial equation y = x^2 - 6x + 1 is all real numbers because polynomial functions are defined for all real values of x.
Step-by-step explanation:
The domain of the equation y = x2 − 6x + 1 is the set of all x-values for which the equation is defined. Since this is a polynomial equation, which is defined for all real numbers, its domain is also all real numbers. There are no values of x that you cannot plug into the equation, thus the domain is the set of all real numbers.