Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.1 - Functions and Their Graphs - Exercises 1.1 - Page 11: 3

Answer

The domain is $[-2,\infty)$ The range is $[0,\infty)$.

Work Step by Step

Domain: $F(X)=\sqrt {5x+10}$ Because the square root of $5x+10$ must be greater than or equal to $0$: $5x+10\geq0$ $5x\geq-10$ $x\geq-2$ Which makes the domain $[-2,\infty)$. Which makes the range $[0,\infty)$.
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