Answer:
In this problem, we are given the following functions:

and its inverse function:

First of all, we want to calculate
. This can be obtained by substituting
x = 2
into f(x). Doing so, we find:

Then we want to calculate
. We can do it by substituting
x = 1
into
. Doing so,

Then we want to calculate
, which can be found by calculating f(2) and then using it as input for
We know that
f(2) = 1
Therefore,

Then we want to calculate
, which can be calculated by plugging
x = -2
into
. Doing so,

Then we want to calculate
; by substituting
x = 4
into f(x), we find

Finally, we want to find 
We know already that

So we have:

Hope this helps :D
(The number or letter written inside is the number of cups)
The answer is B. 0.25 inch. Lets multiply all of them by the same factor. Since A. and B. have 3 decimals, lets divide all numbers by 1000: A. 0.026 * 1000 = 26, B. 0.25 * 1000 = 250, C. 0.24 * 1000 = 240, D. 0.025 * 1000 = 25. So, by comparing the whole numbers, it can be concluded that the biggest steel rod is B. 0.25 inch.