Answer
$f^{-1}(x)=y^{2}-2$
Work Step by Step
$f(x)=\sqrt (x+2)$
$y=\sqrt (x+2)$
$y^{2}=x+2$
$y^{2}-2=x$
$f^{-1}(x)=y^{2}-2$
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.