The answers to exercise marked [BB] can he found in the Back of the Book.
Let S = {1, 2, 3, 4} and define functions ƒ, g:S → S by f = {(1, 3), (2, 2), (3, 4), (4. l)} and g = {(1, 4), (2, 3), (3, 1), (4, 2)}. Find
(a) [BB] g−1 o f o g
(b) f o g−1o g
(c) g o f o g−1
(d) g o g−1 o ƒ
(e)f−1 o g−1 o f o g
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