Answer for the first box = 10
Answer for the second box = -10
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Work Shown:
f(x) is a function where we plug in the given row of x values to have them lead to the corresponding f(x) values in the table. We see that x = 14 leads to y = f(x) = 7. Going backwards, we can say . The inverse simply undoes everything f(x) does.
So,
For the portion , look at the column that has x = 10. This shows it leading to f(x) = 14. You trace this column upward to go backward to undo f(x).
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That takes care of the first part. The second part is pretty much the same idea. We locate where -4 is in the bottom row, and then we write down the corresponding x value.
We see that y = -4 pairs with x = -10, which is why
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Keep in mind that this function must be one-to-one for the inverse to exist. If not, then you'll have to do some kind of domain restriction.