Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - 11-1 Simplifying Rational Expressions - Lesson Check - Page 667: 5

Answer

The answer is below.

Work Step by Step

It is necessary because some values will not result in a valid output if used as an input for the function. For instance, if the denominator of the fraction was x+5, we could not use -5 as an input, for it would result in the denominator canceling out to 0, which is not allowed.
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