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Assume that $ f $ is a one-to-one function.

(a) If $ f(6) = 17 $ , what is $ f^{-1} (17) $?

(a) If $ f^{-1} (3) = 2 $ , what is $ f(2) $?

a) $f^{-1}(17)=6$

b) $f(2)=3$

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Missouri State University

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in this problem. We're talking about inverse functions and particularly coordinate pairs that would fall on inverse functions. And one of the features of inverse functions is that if F of X contains the point a B, then f inverse of X will contain the point B A. So the coordinates switch places a and B switch. So if you have the 0.6 17 as a point on f of X, you're going to have the 170.0.17 6 as a point on F in verse. So that tells us that F inverse of 17 will be six. Similarly, if you have the 0.32 on f inverse, you're going to have the 0.23 on F and so f of two will be three.