Answer
$A=-4$
Work Step by Step
It is given, that $f(0)=2$.
Substituting $x=0$ into the function $f(x)$ gives:
$f(x)=\dfrac{3(0)+8}{2(0)-A}$
$2=\dfrac{8}{-A}$
Solving this equation for $A$ gives:
$\frac{8}{-A}=2$
$8=2(-A)\\
8=-2A$
$-4=A$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 1 - Functions and Their Graphs - Section 1.1 Functions - 1.1 Assess Your Understanding - Page 55: 85
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