Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - Chapter Review Exercises - Page 36: 12

Answer

The domain of $ f(x)=\frac{4}{x^4+1}$ is $ R $. Also, the range of $ f(x)$ is $0\lt y\leq 4$.

Work Step by Step

Since $ x^4+1\neq 0$ for all $ x\in R $, then the domain of $ f(x)=\frac{4}{x^4+1}$ is $ R $. Also, the range of $ f(x)$ is $0\lt y\leq 4$.
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