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: 38

Answer

$-2$

Work Step by Step

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