## Intermediate Algebra: Connecting Concepts through Application

$\text{all real numbers except }$ $b=-11$
$\bf{\text{Solution Outline:}}$ The domain of the given rational function, $m(b)=\dfrac{b+9}{b+11} ,$ are the values of $b$ which will NOT make the denominator equal to $0.$ $\bf{\text{Solution Details:}}$ Solving for the values of $b$ that will make the denominator equal to $0$ results to \begin{array}{l}\require{cancel} b+11=0 \\\\ b=-11 .\end{array} Hence, the domain is the set of $\text{all real numbers except }$ $b=-11 .$