Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1-6 - Cumulative Review: 27

Answer

a)$f(3) - g(3) = 12$ b) $f(g(5)) = -123$ c) $f(4)g(4)= -21$

Work Step by Step

$f(x) = 4x-15$ $g(x) = -6x+3$ a) $f(3) - g(3)$ $= (4(3) - 15) - (-6(3) + 3)$ $= (12 -15) - (-18+ 3)$ $= -3 - (-15)$ $= -3 + 15$ $= 12$ b) $f(g(5))$ $= f(-6(5) + 3)$ $= f(-30 + 3)$ $= f(-27)$ $= 4(-27)-15$ $= -108-15$ $= -123$ c) $f(4)g(4)$ $= (4(4)-15)(-6(4)+3)$ $= (16-15)(-24+3)$ $= 1(-21)$ $= -21$
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