Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.7 - Combining Functions - 2.7 Exercises - Page 217: 43

Answer

$1$

Work Step by Step

Based on the table, the $y-$value of $g$ at $x=6$ is $4$. Hence, $g(6)=4.$ The $y-$value of $f$ when $x=4$ is $1$. Hence, $f(4)=1$. The given composition function, $ (f\circ g)(6) ,$ evaluates to \begin{array}{l}\require{cancel} f(g(6)) \\\\= f(4) \\\\= 1 .\end{array}
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