The table shows mens shoe sizes in the United States and the corresponding European shoe

Chapter 1, Problem 115

(choose chapter or problem)

The table shows men’s shoe sizes in the United States and the corresponding European shoe sizes. Let y = f(x) represent the function that gives the men’s European shoe size in terms of x, the men’s U.S. size.

(a) Is f one-to-one? Explain.

(b) Find f(11).

(c) Find \(f^{-1}(43)\), if possible.

(d) Find \(f\left(f^{-1}(41)\right)\).

(e) Find \(f^{-1}(f(12))\).

Text Transcription:

f ^−1(43)

f( f ^−1(41))

f ^−1( f(12))

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