Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.7 - Combinations of Functions; Composite Functions - Exercise Set - Page 258: 61

Answer

a. $\sqrt {x-1}$ b. $\sqrt x-1$ c. $1$ d. $\sqrt 2-1$

Work Step by Step

Given $f(x)=\sqrt x$ and $g(x)=x-1$, we have: a. $(f\circ g)(x)=\sqrt {x-1}$ b. $(g\circ f)(x)=\sqrt x-1$ c. $(f\circ g)(2)=\sqrt {2-1}=1$ d. $(g\circ f)(2)=\sqrt 2-1$
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