College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Summary, Review, and Test - Cumulative Review Exercises (Chapters 1-8) - Page 792: 30

Answer

See below.

Work Step by Step

$(f\circ g)(x)=f(g(x))=f(x-1)=-(x-1)^2-2(x-1)+1=-x^2+2x-1-2x+2+1=-x^2+2$ $(g\circ f)(x)=g(f(x))=g(-x^2-2x+1)=(-x^2-2x+1)-1=-x^2-2x$
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