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: 96

Answer

The graph shows that the functions are not identical.

Work Step by Step

Given \begin{equation} \begin{aligned} & x \sqrt{8}+x \sqrt{2}=x \sqrt{10} \\ & {[-5,5,1] \text { by }[-15,15,1]} \end{aligned} \end{equation} Let \begin{equation} \begin{aligned} f(x) &= x\sqrt{8}+x \sqrt{2}\\ g(x)& = x\sqrt{10}\\ \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)&=2x\sqrt{2}+x \sqrt{2}\\ & =3x\sqrt{2} \end{aligned} \end{equation}
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