Answer: 6
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Explanation:
Each point listed is of the form (x,y)
The input x is fed into the f(x) function to get a y = f(x) output.
Recall that the inverse function undoes everything the original function does.
This means that when we determine the inverse function for a list of points like this, we just swap each x and y.
So if
[tex]f = \{ (3.5, 2), (0,4), (1,5), (6,1) \}[/tex]
then,
[tex]f^{-1} = \{ (2,3.5), (4,0), (5,1), (1,6) \}[/tex]
Again all I've done is swap each x and y value.
From here, we look through the inverse function set and look for the point when x = 1. We see the point (1,6) is in the set.
Therefore, [tex]f^{-1}(1) = 6[/tex]
