Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.3 Functions - 2.3 Exercises - Page 216: 63

Answer

$f(x+2)=-3x-2$

Work Step by Step

To find the value of $f(x+2)$, substitute $x+2$ to $x$ in $f(x)$ to obtain: $f(x)=-3x+4 \\f(x+2)=-3(x+2)+4 \\f(x+2) = -3(x) +(-3)(2)+4 \\f(x+2)=-3x+(-6)+4 \\f(x+2)=-3x+(-2) \\f(x+2)=-3x-2$
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