Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 1 - Section 1.3 - New Functions from Old Functions - 1.3 Exercises - Page 44: 41

Answer

$f(g(h(x)))= 3(sin(x^{2})) -2$

Work Step by Step

We need to find $f(g(h(x)))$. To do this, we can first substitute g(x) into our f(x) equation. $f(g(x))= 3(sin(x))-2$. Next, we can further substitute in h(x) into our previous function to create $f(g(h(x)))= 3(sin(x^{2})) -2$.
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