Prove that f : R → R by f(x) = 2x+4. Prove that f is one-to-one and maps surjectively onto R.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.3: Properties Of Composite Mappings (optional)
Problem 12E: Let f:AB and g:BA. Prove that f is one-to-one and onto if fg is one to-one and gf onto.
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Prove that f : R → R by f(x) = 2x+4. Prove that f is one-to-one and maps surjectively
onto R.
Transcribed Image Text:Prove that f : R → R by f(x) = 2x+4. Prove that f is one-to-one and maps surjectively onto R.
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