Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.1 - Functions - Exercises - Page 156: 15

Answer

$x$ enters into a function, where we subtract $1$ and take square root. The output comes as a result of this diagram. $x$ => $f(x)$ => $\sqrt{(x-1)}$ (See examples below)

Work Step by Step

As a machine diagram, we can imagine: $x$ enters into a function, where we subtract $1$ and take square root. The output comes as a result of this diagram. $x$ => $f(x)$ => $\sqrt{(x-1)}$ For example: $x=1$ $1$ => $f(1)$ => $\sqrt{1-1}=\sqrt{0}=0$ $x=5$ $5$ => $f(5)$ => $\sqrt{5-1}=\sqrt{4}=2$ $x=10$ $10$ => $f(10)$ => $\sqrt{10-1}=\sqrt{9}=3$ $x=26$ $26$ => $f(26)$ => $\sqrt{26-1}=\sqrt{25}=5$
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