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Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 57E
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Question
Let f:X→Y and g:Y→Z be one-to-one correspondences.
(a) Prove that g◦fmust be a one-to-one correspondence.
(b) Prove that (g◦f)−1=f−1◦g−1.
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