College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 5 - Section 5.2 - Properties of Rational Functions - 5.2 Assess Your Understanding: 23

Answer

All real numbers

Work Step by Step

The domain of the function is all real numbers, except for when the denominator is 0. Thus, we let the denominator equal 0: $$x^2+4 = 0 \\ x= \sqrt{-4}$$ Because the square root of a negative number is not a real value, we see that the denominator will never equal 0. Thus, the domain is the set of all real numbers.
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