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: 36

Answer

$0$

Work Step by Step

Based on the graph, the $y-$value of $g$ at $x=0$ is $3$. Hence, $g(0)=3.$ The $y-$value of $f$ when $x=3$ is $0$. Hence, $f(3)=0$. The given composition function, $ (f\circ g)(0) ,$ evaluates to \begin{array}{l}\require{cancel} f(g(0)) \\\\= f(3) \\\\= 0 .\end{array}
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