Question

waterloo park posted the following schedule listing the number of hours an employee works on a given day. let b(x), t(x), r(x), and s(x) represent the number of hours worked by bill, ted, rufus, and socrates, respectively, on a given day x. what is the value of the inverse shown below? s^(-1)(0) =

Explanation:

Step1: Identify the function S(x)

S(x) represents the number of hours Socrates works on day x.

Step2: Recall the concept of inverse function

If \(y = S(x)\), then \(S^{-1}(y)=x\) where x is the day and y is the number of hours. We want to find \(S^{-1}(0)\), which means we need to find the day when Socrates works 0 hours.

Step3: Check the table

Looking at the table, Socrates works 0 hours on Friday.

Answer:

Friday