### Instruction: Find the domain of the function $\frac{x+1}{x^2+6x+8}$.### Response: Ok, so we can factor the denominator as $(x+2)(x+4)$.
So if either of those factors are 0, then the denominator will be 0 which is not allowed.
Right. So the values $x=-2$ and $x=-4$ make the denominator 0 and are therefore not in the domain.
But any other value for $x$ will make the denominator non-zero and is therefore in the domain.