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: 24

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: $$x^4 +1 =0 \\ x= \sqrt [4] {-1} $$ We can never take the fourth root of a negative number. Thus, the denominator will never equal 0, meaning that the function will exist for all real numbers.
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