Answer
$A=11$
Work Step by Step
With $f(1)=4$, substitute $1$ to $x$ and $4$ to $f(1)$ to obtain:
\[
\begin{array}{l}
f(1)=\frac{A(1)+5}{6(1)-2} \\
\\4=\quad \frac{A+5}{4}\\
\\4(4)=A+5\\
\\16 \quad=A+5 \\
\\16-5=A\\
\\A=11
\end{array}
\]
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 - Chapter Review - Review Exercises - Page 114: 39
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