Answer
$[-2,2]$.
Work Step by Step
The domain requirement for $f(x)=\sqrt[4] {16-x^4}$ is $16-x^4\geq0, x^4\leq16$ which gives $-2\leq x\leq 2$, or in interval notation $[-2,2]$.
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Summary Exercises on Functions: Domains and Defining Equations - Exercises - Page 487: 29
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