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 $y=f(x)$.
$f^{-1}(10)=7$
$f^{-1}(10)=8$
$f^{-1}(10)=-3$
$f^{-1}(10)=10$
$f^{-1}(10)=-10$

Answer

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Answer

Final Answer: \(f^{-1}(10)=\boxed{8}\)

Steps

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: \(f^{-1}(10)=\boxed{8}\)

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