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: 21

Answer

$[-7, +\infty)$

Work Step by Step

The radicand (expression inside a radical) of a square root cannot be negative as its root is an imaginary number. This means that the radicand, which is $5x+35$, must be greater than or equal to 0. Thus, $5x + 35\ge 0 \\5x \ge 0-35 \\5x \ge -35 \\x \ge \frac{-35}{5} \\x \ge -7$ Therefore, the domain of the given function is $[-7, +\infty)$.
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