Problem
\begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline-10 & 7 \\ \hline 8 & 10 \\ \hline 10 & -3 \\ \hline \end{tabular} Use the table of function values given above to determine of value of $f^{-1}(10)$ if $y=f(x)$. $f^{-1}(10)=7$ $f^{-1}(10)=8$ $f^{-1}(10)=-3$ $f^{-1}(10)=10$ $f^{-1}(10)=-10$
Solution
Step 1 ：The function \(f^{-1}(x)\) is the inverse of the function \(f(x)\).
Step 2 ：To find the value of \(f^{-1}(10)\), we need to look at the table and find the \(x\) value when \(y=10\).
Step 3 ：From the table, we can see that when \(y=10\), \(x=8\).
Step 4 ：So, \(f^{-1}(10)=8\).
Step 5 ：Final Answer: \(f^{-1}(10)=\boxed{8}\)
