Calculus (3rd Edition)

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

Chapter 1 - Precalculus Review - 1.3 The Basic Classes of Functions - Exercises - Page 22: 16



Work Step by Step

According to the book, an algebraic function is made by "taking sums, products, and nth roots of polynomials and rational functions". $ f(x)=\sqrt{1-x^2}$ is just a root of the polynomial $1-x^2$, so $ f(x)$ is an algebraic function.
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