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: 34

Answer

$3$

Work Step by Step

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