Which one of the following statements is a true statement? O If f:A » B and g:B → C are functions and g o f is one-to-one, g must be one-to-one. O If f:A – » B and g:B → C are functions and g o f is onto, f must be onto. O If f:A → B and g:B » C are functions and gof is one-to-one, f must be one-to-one. O If f:A → B and g:B - → C are functions and g • f is one-to-one, f must be onto.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which one of the following statements is a true statement?
O If f:A
B and g:B
→ C are functions and g •f is one-to-one, g must be one-to-one.
>
O If f:A
→ B and g:B
→ C are functions and gof is onto, ƒ must be onto.
O If f:A
» B and g:B
→ C are functions and g• f is one-to-one, f must be one-to-one.
O If f:A -
→ B and g:B
→ C are functions and g•f is one-to-one, f must be onto.
Transcribed Image Text:Which one of the following statements is a true statement? O If f:A B and g:B → C are functions and g •f is one-to-one, g must be one-to-one. > O If f:A → B and g:B → C are functions and gof is onto, ƒ must be onto. O If f:A » B and g:B → C are functions and g• f is one-to-one, f must be one-to-one. O If f:A - → B and g:B → C are functions and g•f is one-to-one, f must be onto.
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