Answer
$u\ne-1,-2$
Work Step by Step
we need to check when $1+\frac{1}{u+1}=0$ and when $u+1=0$
so
$\frac{1}{u+1}=-1$
$1=-u-1$
$u=-2$
and
$u=-1$
So the domain of the function is $u\ne-1,-2$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.