2) Suppose f:X→Y and g: Y→ Z are functions and gof is 1-1. ) Must f always be 1-1? Explain why or give a counterexample. ) [from Example 7.3.19] Must g always be 1-1? punterexample. Prove or give a

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
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(12) Suppose f:X→ Y and g: Y - z are functions and gof is 1-1.
(a) Must f always be 1-1? Explain why or give a counterexample.
Prove or give a
(b) [from Example 7.3.19] Must g always be 1-1?
counterexample.
Transcribed Image Text:(12) Suppose f:X→ Y and g: Y - z are functions and gof is 1-1. (a) Must f always be 1-1? Explain why or give a counterexample. Prove or give a (b) [from Example 7.3.19] Must g always be 1-1? counterexample.
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