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Unformatted text preview: is the inclusion, then there is a surjection g : X im f with f = j g . Solution. True. (vi) If f : X Y is a function for which there is a function g : Y X with f g = 1 Y , then f is a bijection. Solution. False. (vii) The formula f ( a b ) = ( a + b )( a b ) is a well-de f ned function Q Z . Solution. False. (viii) If f : N N is given by f ( n ) = n + 1 and g : N N is given by g ( n ) = n 2 , then the composite g f is n 7 n 2 ( n + 1 ) . Solution. False. (ix) Complex conjugation z = a + ib 7 z = a ib is a bijection C C . Solution. True....
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This note was uploaded on 12/21/2011 for the course MAS 4301 taught by Professor Keithcornell during the Fall '11 term at UNF.
- Fall '11