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algebra intermediate
Problem
The values of a function are given in the table below.
\begin{array}{|c||c|c|c|c|c|} \hline $x$ & 1 & 2 & 3 & 4 & 5 \\ \hline $f(x)$ & 3 & 1 & 5 & 4 & 2 \\ \hline \end{array}If exists, then what is ?
\begin{array}{|c||c|c|c|c|c|} \hline $x$ & 1 & 2 & 3 & 4 & 5 \\ \hline $f(x)$ & 3 & 1 & 5 & 4 & 2 \\ \hline \end{array}If exists, then what is ?
Solution
First, we notice that , so . Hence, Next, , so . Thus, . Finally, , so . Thus,
Final answer
3