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Problem:
Find the inverse of the following function: $-\sin ^{-1}\left(x+\frac{15}{2}\right)$
Answer:
$\left\{\left\{x\to \fbox{$\frac{1}{2} (-2 \sin (y)-15)\text{ if }-\frac{\pi }{2}\leq y\leq \frac{\pi }{2}$}\right\}\right\}$