Year, t Sales, S(t)

1 62
2 246
3 664
4 1579
5 3258
6 8430
7 14,532

(c) If S−1 exists, find S−1(3,258).

To find S−1(3,258), we need to find the corresponding value of t for the given sales value.

We are given a table with the years (t) and the corresponding sales (S(t)). We need to find the year (t) when the sales were 3,258.

Looking at the table, we can see that when t is 5, the sales value is 3,258. Therefore, the answer is t = 5.

Explanation:
To find the value of t corresponding to a given sales value (3,258), we compare the sales values in the table and find the corresponding value of t.

In this case, we see that when t is 5, the sales value is 3,258. So, the inverse of the sales function S(t) for the given sales value is S−1(3,258) = 5.

In general, to find the value of S−1(x), where x represents a specific sales value, we need to go through the table and find the corresponding t value for that sales value.