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 37: 46

Answer

$$ y = 2 \cos \left(\frac{1}{3} x-\frac{\pi}{4}\right)$$

Work Step by Step

We are given: $$f(x)=\cos x$$ Then the composite functions is: \begin{align*} y&=2 f\left(\frac{1}{3} x-\frac{\pi}{4}\right)\\ &= 2 \cos \left(\frac{1}{3} x-\frac{\pi}{4}\right) \end{align*} We sketch the result below.
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