What is the domain of f(t) = (t+1)/(t^2+3t+2)??

f(t)=$\frac{t + 1}{\left(t + 2\right) \left(t + 1\right)} = \frac{1}{t + 2}$
The domain of f(t) would therefore be (-$\infty$,2)U(2, $\infty$)