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: 17

Answer

Transcendental

Work Step by Step

Since we have the term $\sin x $ in the denominator, the function $ f(x) $ is not rational but rather transcendental (a non-polynomial, non-algebraic function).
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