Question
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.
Men's U.S.
shoe size, Men's European
shoe size
8 41
9 42
10 43
11 45
12 46
13 47
(b) Find f(13).
(c) Find f −1(42), if possible. (If an answer does not exist, enter DNE.)
(d) Find f(f −1(43)).
(e) Find f −1(f(8)).
Men's U.S.
shoe size, Men's European
shoe size
8 41
9 42
10 43
11 45
12 46
13 47
(b) Find f(13).
(c) Find f −1(42), if possible. (If an answer does not exist, enter DNE.)
(d) Find f(f −1(43)).
(e) Find f −1(f(8)).