# Chapter 4 - Polynomial and Rational Functions - 4.2 Properties of Rational Functions - 4.2 Assess Your Understanding - Page 197: 24

The domain of the given function is the set of all real numbers.

#### Work Step by Step

The denominator of a rational function cannot be $0$, hence $x^2+1$ should not be $0$. However, the value of $x^2+1$ will never be equal to zero since the value of $x^2$ is always non-negative for all real numbers. Thus, the domain of the given function is the set of all real numbers.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.