## College Algebra 7th Edition

The domain is $\left\{t| t\ne -2\right\}$.
The denominator of an expression is not allowed to be equal to zero. To find the value of $t$ that will make the denominator zero, solve the equation: $3t+6=0 \\3t=-6 \\\frac{3t}{3}=\frac{-6}{3} \\t=-2$ The given expression's denominator will be equal to zero when $t=-2$. Thus, the value of $t$ cannot be $-2$. Therefore, the domain of the given expression is the set of all real numbers except $-2$.