Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 10 - Cumulative Review - Page 634: 42a

Answer

$(f\circ g)(x)=9x^2-21x+12$

Work Step by Step

Since $ (f\circ g)(x)=f(g(x)) $, then, \begin{array}{l} (f\circ g)(x)=f(-3x+5) \\\\ (f\circ g)(x)=(-3x+5)^2-3(-3x+5)+2 \\\\ (f\circ g)(x)=9x^2-30x+25+9x-15+2 \\\\ (f\circ g)(x)=9x^2+(-30x+9x)+(25-15+2) \\\\ (f\circ g)(x)=9x^2-21x+12 \end{array}
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