Concept explainers
In Problems 6-11, find the domain of each function.
To find: The domain of the provided function.
Answer to Problem 7RE
Solution:
The domain of is , or the interval .
Explanation of Solution
Given:
It is provided in the problem that the function is .
Formula used:
Rules used to find the domain of a function defined by an equation:
1. Start with the domain as the set of all numbers.
2. If the equation has a denominator, exclude any numbers that give a zero denominator.
3. If the equation has a radical of even index, exclude any numbers that cause the expression inside the radical (the radicand) to be negative.
The function says to take the square root of . But only nonnegative numbers have real squre roots, so the expression under the squre root (the radicand) must be nonnegative (greater than or equal to zero). This requires that
The domain of is , or the interval .
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (4th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus (10th Edition)
Calculus and Its Applications (11th Edition)
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