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: 58

Answer

$g(-\frac{1}{4})=-\frac{1}{16}$

Work Step by Step

To find the value of $g(-\frac{1}{4})$, substitute $-\frac{1}{4}$ to $x$ in $g(x)$ to obtain: $g(x)=-x^2+4x+1 \\g(-\frac{1}{4})=-(-\frac{1}{4})^2+4(-\frac{1}{4})+1 \\g(-\frac{1}{4})=-\frac{1}{16}-1+1 \\g(-\frac{1}{4})=-\frac{1}{16}$
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