Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 4 - Section 4.3 - Logarithmic Functions - 4.3 Exercises - Page 352: 75


Domain: $(-\infty,1)\cup(1,+\infty)$

Work Step by Step

For a logarithmic function to be defined, its argument must be POSITIVE, So, g is defined for $x^{2}-1>0$ $x^{2}>1$ The square of a real number x is greater than 1 if $|x|>1$ (all numbers less than -1 or greater than 1) $x1$ In interval notation, $x\in(-\infty,1)\cup(1,+\infty)$ Domain: $(-\infty,1)\cup(1,+\infty)$
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