Precalculus (10th Edition)

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

Chapter 1 - Graphs - 2.1 Functions - 2.1 Assess Your Understanding - Page 58: 95

Answer

$A=-4$

Work Step by Step

With $f(0)=2$, substitute $2$ to $x$ and $2$ to $f(2)$ to obtain: $f(x)=\dfrac{3x+8}{2x-A}$ $f(2)=\dfrac{3(0)+8}{2(0)-A}$ $2=\dfrac{8}{-A}$ Cross-multiply to obtain: $-2(A)=8$ $-2A=8\\ A=\dfrac{8}{-2}\\ A=-4$
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