(27) Let f A → B and g : B → C be functions, and assume that their composition gof A→ C is one-to-one. Does this imply that both f and g are one-to-one? Prove your answer. (28) Let f A → B and g B → C be one-to-one functions, and assume that their composition g of A → C is onto. Does this imply that both f and g are onto? Prove your answer.

(27) Let f A → B and g : B → C be functions, and assume that their composition gof A→ C is one-to-one. Does this imply that both f and g are one-to-one? Prove your answer. (28) Let f A → B and g B → C be one-to-one functions, and assume that their composition g of A → C is onto. Does this imply that both f and g are onto? Prove your answer.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.4: Definition Of Function

Problem 61E

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