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If f : X → Y and g: Y→ Z are functions such that g of is one-to-one, then f is one-to-one.

If f : X → Y and g: Y→ Z are functions such that g of is one-to-one, then 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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Prove The Following: 

If f : X → Y and g: Y→ Z are functions such that g of is one-to-one, then f is one-to-one.
Transcribed Image Text:If f : X → Y and g: Y→ Z are functions such that g of is one-to-one, then f is one-to-one.
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