Provide a counterexample to the following statement: Given functions f: X→ Y and g: Y → Z, if g of is injective, then g is injective.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 11E
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Provide a counterexample to the following statement: Given functions f: X → Y and g: Y→ Z,
if g of is injective, then g is injective.
Transcribed Image Text:Provide a counterexample to the following statement: Given functions f: X → Y and g: Y→ Z, if g of is injective, then g is injective.
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