## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$\bf{\text{Solution Outline:}}$ The domain of the given function, $g(t)=9+\sqrt[6]{t^6} ,$ is the permissible values of $x.$ $\bf{\text{Solution Details:}}$ Since $\sqrt[n]{x^n}=|x|$ if $n$ is even and $\sqrt[n]{x^n}=x$ if $n$ is odd, then $\sqrt[6]{t^6}$ is defined for any value of $t.$ Hence, the domain is the set of $\text{ all real numbers .}$