Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 12 - Vector-Valued Functions - 12.1 Exercises - Page 821: 1

Answer

$(-\infty,-1)$ U $(-1,\infty)$

Work Step by Step

We know that all rational functions are continuous everywhere where they are defined. The $\textbf{j}$ and $\textbf{k}$ components are both polynomials, so they are defined on the whole number line. The $\textbf{i}$ component is only undefined at $x=-1$, hence the answer.
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