Identify the domain of the equation y = x2 − 6x + 1.

Answer:The domain of equation [tex]\bold y = x^2- 6x + 1\bold[/tex] is all real numbers, [tex](\infty,-\infty)[/tex] Solution: The domain of a function is the set of all possible values of the independent variable x. So, basically it is the all possible value of x that satisfies the equation. Only the denominator of the fraction cannot be zero and the value under root cannot be negative, In the given equation, [tex]y = x^2 - 6x + 1[/tex], there are no fraction and no values under root. Hence there are no restrictions for this equation. Hence the domain of this equation will be the set of all possible values of x that satisfied the equation which is the set of all real numbers. So, the domain of equation[tex]\bold y = x^2- 6x + 1\bold[/tex] is all real numbers, [tex](\infty,-\infty)[/tex]