Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.1 Composite Functions - 5.1 Assess Your Understanding: 2

Answer

$f(3x) = -18x^2+4$

Work Step by Step

RECALL: $f(a)$ represents the value of the function $f$ when $x=a$. Substitute $3x$ into $x$ in the function $f$ to obtain: $f(3x) = 4-2(3x)^2 \\f(3x) = 4-2(9x^2) \\f(3x) = 4-18x^2 \\f(3x) = -18x^2+4$
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