Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.3 - Analyzing Graphs of Functions - 2.3 Exercises - Page 194: 31

Answer

a) See graph b) $x=\dfrac{1}{3}$

Work Step by Step

We are given the function: $f(x)=\dfrac{3x-1}{x-6}$ a) Graph the function. From the graph the zero is: $x=\dfrac{1}{3}$ b) Determine the zeros algebraically: $f(x)=0$ $\dfrac{3x-1}{x-6}=0$ $3x-1=0$ $3x=1$ $x=\dfrac{1}{3}$
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