Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.3 New Functions from Old Functions - 1.3 Exercises - Page 44: 33


a) $fog(x)=3x^2+3x+5$ b) $gof(x)=9x^2+33x+30$ c) $fof(x)= 9x+20$ d) $gog(x)=x^4+2x^3+2x^2+x$

Work Step by Step

a) $fog(x)=f(g(x))=3(g(x))+5=3x^2+3x+5$ b) $gof(x)=g(f(x))=(f(x))^2+f(x)=9x^2+33x+30$ c) $fof(x)= f(f(x))=3f(x)+5=9x+20$ d) $gog(x)=g(g(x))=(g(x))^2+g(x)=x^4+2x^3+2x^2+x$
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