Intermediate Algebra: Connecting Concepts through Application

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

Chapter 3 - Exponents, Polynomials and Functions - Chapter Review Exercises - Page 287: 39

Answer

$(a)f(4)+g(4)=\frac{16}{7}$ $(b)f(4)-g(4)=\frac{2}{7}$ $(c)f(4)g(4)=\frac{9}{7}$

Work Step by Step

$f(x)=\frac{1}{7}x+\frac{5}{7}=\frac{1}{7}(x+5)$ $g(x)=2x-7$ $(a)f(4)=\frac{1}{7}(4+5)=\frac{9}{7}$ $g(4)=2(4)-7=1$ $f(4)+g(4)=\frac{9}{7}+1=\frac{16}{7}$ $(b)f(4)-g(4)=\frac{9}{7}-1=\frac{2}{7}$ $(c)f(4)g(4)=\frac{9}{7}\times1=\frac{9}{7}$
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