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[SPAM] [obm-l] Funções - ITA 1978
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- Subject: [SPAM] [obm-l] Funções - ITA 1978
- From: "Igor Battazza" <battazza@xxxxxxxxx>
- Date: Fri, 2 May 2008 12:14:48 -0300
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Olá, alguem poderia me dar uma ajuda na explicação dessa questão, pois
eu cheguei em um resultado proximo, mas de uma maneira meio mistica,
chutando (ou seja, de uma forma incorreta). Lá vai:
Sejam R o conjunto dos números reais e f uma função de R em R. Se B
está contido em R e o conjunto f^-1(B) = { x pertence a R ; f(x)
pertence a B }, então:
a) f[ f^-1(B) ] está contido em B; (Alternativa correta, mas pouco me
importa :P )
b) f[ f^-1(B) ] = B se f é injetora;
c) f[ f^-1(B) ] = B
d) f^-1[ f(B) ] = B se f é sobrejetora;
e) n.d.a.
OBS: f^-1 é a inversa de f.
Obrigado desde já!
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