Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 0 - Before Calculus - 0.2 New Functions From Old - Exercises Set 0.2 - Page 25: 40


(a) $$g(x)=3 \sin x \qquad h(x)=x^2$$ (b) $$g(x)=3x^2+4x \qquad h(x)= \sin x$$

Work Step by Step

(a) By considering the functions $$g(x)=3 \sin x \qquad h(x)=x^2$$ we have $$f(x)=(g \circ h)(x)=g(h(x))=3 \sin (x^2).$$ (b) By considering the functions $$g(x)=3x^2+4x \qquad h(x)= \sin x$$ we have $$f(x)=(g \circ h)(x)=g(h(x))=3 \sin ^2 x + 4 \sin x.$$
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