# Chapter R - Review of Basic Concepts - R.5 Rational Expressions - R.5 Exercises - Page 53: 11

$\color{blue}{(-\infty, 6) \cup (6, +\infty)}$

#### Work Step by Step

The denominator of a rational expression is not allowed to be equal to zero as it will make the expression undefined. Thus, $x-6 \ne 0 \\x-6+6\ne0+6 \\x\ne 6$ The value of $x$ can be any real number except $6$. Therefore, the domain of the given rational expression is the set of real numbers except $6$. In interval notation, the domain is: $\color{blue}{(-\infty, 6) \cup (6, +\infty)}$

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.