Question

find the domain of the function.
f(x)=x² - 2x + 10
the domain of f(x) is
(type your answer in interval notation.)

Explanation:

Step1: Identify function type

The function $f(x)=x^2 - 2x + 10$ is a polynomial.

Step2: Recall polynomial domain rule

All polynomial functions are defined for all real numbers.

Step3: Write in interval notation

The set of all real numbers in interval notation is $(-\infty, \infty)$.

Answer:

$(-\infty, \infty)$