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George Milton

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visits member for 6 months
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39 reputation
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10 Questions

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3
 Prove $f(S \cup T) = f(S) \cup f(T)$
1
 If $f \circ g$ is onto then $f$ is onto and if $f \circ g$ is one-to-one then $g$ is one-to-one
1
 Prove $f(S \cap T) \subseteq f(S) \cap f(T)$
1
 What are the strategies I can use to prove $f^{-1}(S \cap T) = f^{-1}(S) \cap f^{-1}(T)$?
0
 Prove $\lfloor (n+m)/2\rfloor\ = \lfloor m/2\rfloor\ + \lceil n/2 \rceil$ [duplicate]
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39 Reputation

+5 What are the strategies I can use to prove $f^{-1}(S \cap T) = f^{-1}(S) \cap f^{-1}(T)$?
+5 If $f \circ g$ is onto then $f$ is onto and if $f \circ g$ is one-to-one then $g$ is one-to-one
+15 Prove $f(S \cup T) = f(S) \cup f(T)$
+5 Prove $f(S \cap T) \subseteq f(S) \cap f(T)$
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0 Answers

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proof-strategy

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