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: 30


a) See graph b) $x=26$

Work Step by Step

We are given the function: $f(x)=\sqrt{3x-14}-8$ a) Graph the function. From the graph the zero is: $x=26$ b) Determine the zeros algebraically: $f(x)=0$ $\sqrt{3x-14}-8=0$ $\sqrt{3x-14}=8$ $(\sqrt{3x-14})^2=8^2$ $3x-14=64$ $3x=64+14$ $3x=78$ $x=\dfrac{78}{3}$ $x=26$
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