Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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![Proof: Let f and g be one-to-one functions.
a) Prove that (a) fog is one-to-one
b) Prove that (b) (fog)-¹(x) = (g¯¹ of¯¹) (x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8530ca5f-6e8e-4cce-aaa4-95b39b1a4e45%2F7088afcb-ebdc-4c63-a0f3-de41c6320eab%2F3m4dcl8_processed.png&w=3840&q=75)
Transcribed Image Text:Proof: Let f and g be one-to-one functions.
a) Prove that (a) fog is one-to-one
b) Prove that (b) (fog)-¹(x) = (g¯¹ of¯¹) (x)
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