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 23: 22



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". We see that $ f(x)$ has the term $\sqrt{x}$ in the denominator, so it is not rational (ratio of polynomials), but rather algebraic.
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