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4 6. Given two functions f : A → B and g: B → C, if gof: A → C is bijective, then g is onto and f is one-to-one.

4 6. Given two functions f : A → B and g: B → C, if gof: A → C is bijective, then g is onto and f is one-to-one.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please check the picture,thanks

6. Given two functions f : A ! B and g : B ! C, if g   f : A ! C is bijective, then g is onto

and f is one-to-one.

4 6. Given two functions f : A → B and g : B → C, if go f : A → C is bijective, then g is onto and f is one-to-one.
Transcribed Image Text:4 6. Given two functions f : A → B and g : B → C, if go f : A → C is bijective, then g is onto and f is one-to-one.
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