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: 22

Answer

$[-10, +\infty)$

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 $7x-70$, must be greater than or equal to 0. Thus, $7x-10\ge 0 \\7x \ge 0-70 \\7x \ge -70 \\x \ge \frac{-70}{7} \\x \ge -10$ Therefore, the domain of the given function is $[-10, +\infty)$.
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