is this correct?

find domain of the function
p(x)=x^2-2x+2

x is a real number

Yes, your question is correct. To find the domain of the function p(x) = x^2 - 2x + 2, where x is a real number, we need to determine all the possible values that x can take without causing any mathematical issues.

In this case, since there are no denominators or square roots involved in the function, the domain is simply all real numbers. In other words, there are no restrictions on the values that x can take in this function. So, the domain of p(x) is (-∞, +∞), which represents all real numbers.