Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.2 - Mathematical Models: A Catalog of Essential Functions. - 1.2 Exercises: 6

Answer

all real x, $x\ne\frac{\pi}{4}+n\pi$ (n is an integer)

Work Step by Step

The function is defined for all real x where the denominator $1-\tan x\ne0$. When $1-\tan x=0$, $\tan x=1, x=\frac{\pi}{4}+n\pi$ (n is an integer) $\therefore$ the domain is all real x, exluding $x=\frac{\pi}{4}+n\pi$ (n is an integer)
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