To find the value of [tex]\( S^{-1}(0) \)[/tex], we need to determine on which day Socrates worked 0 hours. We start by examining the schedule for Socrates:
[tex]\[
\begin{array}{|l|r|r|r|r|r|}
\hline
& \text{Mon} & \text{Tues} & \text{Wed} & \text{Thurs} & \text{Fri} \\
\hline
\text{Socrates} & 1 & 2 & 3 & 4 & 0 \\
\hline
\end{array}
\][/tex]
From this schedule, we observe the number of hours Socrates worked each day:
- Monday: 1 hour
- Tuesday: 2 hours
- Wednesday: 3 hours
- Thursday: 4 hours
- Friday: 0 hours
We are interested in the day he worked 0 hours. Reviewing the schedule, Socrates worked 0 hours on Friday.
Therefore, the value of the inverse function [tex]\( S^{-1}(0) \)[/tex] is:
[tex]\[
S^{-1}(0) = \text{Friday}
\][/tex]
