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11. (2.3.34) Let f: BC and g: A B be functions. (a) Prove or disprove the following statement: If fog: AC is an injection, then g: A B is also an injection. (b) Prove or disprove the following statement: If fog: AC is an injection, then f: BC is also an injection.

11. (2.3.34) Let f: BC and g: A B be functions. (a) Prove or disprove the following statement: If fog: AC is an injection, then g: A B is also an injection. (b) Prove or disprove the following statement: If fog: AC is an injection, then f: BC is also an injection.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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11. (2.3.34) Let f: BC and g: A → B be functions. (a) Prove or disprove the following statement: If fog: AC is an injection, then g: A → B is also an injection. (b) Prove or disprove the following statement: If fog: AC is an injection, then f: BC is also an injection.
Transcribed Image Text:11. (2.3.34) Let f: BC and g: A → B be functions. (a) Prove or disprove the following statement: If fog: AC is an injection, then g: A → B is also an injection. (b) Prove or disprove the following statement: If fog: AC is an injection, then f: BC is also an injection.
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