Use f(x) = 1/2 x and f -1(x) = 2x to solve the problems. f(2) = 1 f−1(1) = 2 f−1(f(2)) = 2 f−1(−2) = f(−4) = f(f−1(−2)) =

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:

step-by-step explanation:

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