Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - Chapter Review - Chapter Test - Page 116: 2

Answer

Domain: $\frac{4}{5}\geq x.$ At $-1$: $3$

Work Step by Step

We plug in $x=-1$ to $f(x)$ to get $f(-1)=\sqrt{4-5\cdot(-1)}=\sqrt{4-(-5)}=\sqrt9=3.$ We know that the square root function is undefined for negative numbers, hence $4-5x\geq0\\4\geq5x\\\frac{4}{5}\geq x.$
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