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: 33

Answer

$4$

Work Step by Step

Based on the graph, the $y-$value of $g$ at $x=2$ is $5$. Hence, $g(2)=5.$ The $y-$value of $f$ when $x=5$ is $4$. Hence, $f(5)=4$. Hence, the given composition function, $ f(g(2)) ,$ evaluates to \begin{array}{l}\require{cancel} f(5) \\\\= 4 .\end{array}
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