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.

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
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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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