Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - Review - Exercises: 19

Answer

a.) $\sqrt{sin (x)}$ b.) $sin (\sqrt x)$ c.) $\sqrt[4] x$ d.) $sin( sin (x))$

Work Step by Step

If $f(x) = \sqrt x$ and $g(x) = sin (x)$ a.) $f \circ g = f(g(x)) = f(sin (x)) = \sqrt{sin (x)}$ b.) $g \circ f = g(f(x)) = g(\sqrt x) = sin (\sqrt x)$ c.) $f \circ f = f(f(x)) = f(\sqrt x) = \sqrt{\sqrt x} = \sqrt[4] x$ d.) $g \circ g = g(g(x)) = g(sin (x)) = sin( sin (x))$
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