## Intermediate Algebra: Connecting Concepts through Application

$\text{all real numbers}$
$\bf{\text{Solution Outline:}}$ The domain of the given rational function, $R(n)=\dfrac{3n+5}{9n^2+25} ,$ are the values of $n$ which will NOT make the denominator equal to $0.$ $\bf{\text{Solution Details:}}$ The denominator, $9n^2+25,$ is always a positive number for any value of $n$ since $n$ is squared. Hence, the domain is the set of $\text{all real numbers} .$