Specify the domain of
\[
\begin{array}{l}
f(x) \\
=\sin -1\left(17-x_{2} 17\right) \sin -1(17-x 217)
\end{array}
\]
using the interval notation below (noting that the domain required is a single interval).
Note also that \( \sin -1(x) \sin -1(x) \) is the inverse of the \( \sin \theta \sin \theta \) function (sometimes the inverse is written as \( \operatorname{asinsin}(\mathrm{x}) \) or \( \arcsin \sin (\mathrm{x}) \), which is also the inverse of \( \sin \theta \sin \theta \), however STACK can display in the \( \sin -1(x) \sin -1(x) \) form).
Notation infinity is written as inf Express answer as a an exact value, fraction and not as a decimal Kindly ignore the square brackets below, the domain should have ordinary brackets such as (a,b). However it cannot be implemented in STACK