## Calculus 8th Edition

Published by Cengage

# Chapter 1 - Functions and Limits - 1.8 Continuity - 1.8 Exercises - Page 92: 29

#### Answer

continuous on $(-\infty, \infty)$

#### Work Step by Step

Let g(x)=$-x^{2}+1$, , a polynomial, continuous everywhere, by theorem 5. Let f(x)$=\cos x$, continuous everywhere, by theorem 7. (polynomials, rational functions, root functions, trigonometric functions are continuous on their domains) $h(x)=f(g(x))$, a composite function of continuous functions, continuous on its domain, by Theorem 9. Its domain is $(-\infty, \infty)$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.