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: 26

Answer

a) $f(x) + g(x)= 1.5x + 9.5$ b) $f(g(x))= -7x + 23.25$ c) $f(x)g(x)= -7x^{2} + 11.25x + 22$

Work Step by Step

$f(x) = 3.5x + 4$ $g(x) = -2x + 5.5$ a) $f(x) + g(x)$ $= (3.5x + 4) + (-2x + 5.5)$ $= 3.5x - 2x + 4 + 5.5$ $= 1.5x + 9.5$ b) $f(g(x))$ $= f(-2x+5.5)$ $= 3.5(-2x+5.5) + 4$ $= -7x + 19.25 + 4$ $= -7x + 23.25$ c) $f(x)g(x)$ $= (3.5x+4)(-2x+5.5)$ $= 3.5x(-2x+5.5) + 4(-2x+5.5)$ $= -7x^{2} + 19.25x -8x + 22$ $= -7x^{2} + 11.25x + 22$
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