Answer
$x \in (-1,2)$
Work Step by Step
Argument of the logarithm must be greater than 0 $\rightarrow$ $2+x-x^{2}\gt0$
After solving the inequality we get the result $x \in (-1,2)$
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.