Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.4 - Adding, Subtracting, and Dividing Radical Expressions - Exercise Set - Page 540: 95

Answer

The graph shows that the functions are not identical.

Work Step by Step

Given \begin{equation} \begin{aligned} & \sqrt{16 x}-\sqrt{9x}=\sqrt{7x} \\ & {[0,5,1] \text { by }[0,5,1]} \end{aligned} \end{equation} Let \begin{equation} \begin{aligned} f(x) &= \sqrt{16 x}-\sqrt{9x}\\ g(x)& = \sqrt{7x}\\ \end{aligned} \end{equation} The graph shows that the functions are not identical. They will be the same if we choose: \begin{equation} \begin{aligned} g(x)&=4\sqrt{ x}-3\sqrt{x}\\ & =\sqrt{x} \end{aligned} \end{equation}
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