Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.3 - Algebraic Expressions - 1.3 Exercises: 95

Answer

$(x^{2}+1)^{1/2}+2(x^{2}+1)^{-1/2}=\dfrac{x^{2}+3}{\sqrt{x^{2}+1}}$

Work Step by Step

$(x^{2}+1)^{1/2}+2(x^{2}+1)^{-1/2}$ Take out common afctor $(x^{2}+1)^{-1/2}$: $(x^{2}+1)^{1/2}+2(x^{2}+1)^{-1/2}=(x^{2}+1)^{-1/2}[(x^{2}+1)+2]=...$ $...=(x^{2}+1)^{-1/2}(x^{2}+3)=\dfrac{x^{2}+3}{\sqrt{x^{2}+1}}$
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