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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 59 (page 653)

In the following exercises, find the domain of each function.
$R (x) = \frac{x^{3} - 2 x^{2} - 25 x + 50}{x^{2} - 25}$

Short Answer

Expert verified

The domain is $R - \{- 5, 5\}$

Step by step solution

01

Given information

$R (x) = \frac{x^{3} - 2 x^{2} - 25 x + 50}{x^{2} - 25}$

We have to find the domain of the given rational function.

02

Factor the denominator

Set denominator zero

x^{2} - 25 = 0 (x - 5) (x + 5) = 0

03

Use the Zero Product Property

$(x - 5) = 0 o r (x + 5) = 0 x = 5, - 5$

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Most popular questions from this chapter

In the following exercises, divide the rational expressions.

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