Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - Chapter Test - Page 127: 10

Answer

$2g(-4)=22$

Work Step by Step

Substituting $ x=-4 $ in the given function, $ g(x)=|-3x-1| ,$ then \begin{align*}\require{cancel} g(-4)&=|-3(-4)-1| \\&= |12-1| \\&= |11| \\&= 11 \end{align*} Using the result above, then \begin{align*} 2g(-4)&=2(11) \\&= 22 \end{align*} Hence $ 2g(-4)=22 .$
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