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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. 2 (page 651)

In the following exercises, determine the values for which the rational expression is defined.
$(a) \frac{10 m}{11 n} (b) \frac{6 y + 13}{4 y - 9} (c) \frac{b - 8}{b^{2} - 36}$

Short Answer

Expert verified

$(a) \frac{10 m}{11 n} isundefinedat n = 0 (b) \frac{6 y + 13}{4 y - 9} is undefined at y = \frac{9}{4} (c) \frac{b - 8}{b^{2} - 36} is undefined at b = - 6, 6$

Step by step solution

01

Step 1. Given information

$(a) \frac{10 m}{11 n} (b) \frac{6 y + 13}{4 y - 9} (c) \frac{b - 8}{b^{2} - 36}$

02

Part a.step 1.find the undefined values

$(a) \frac{10 m}{11 n}$

Equate the denominator to zero and solve for the unknown variable.

$11 n = 0 n = 0$

Hence, the undefined value at $n = 0 .$

03

Part b.step 1.find the undefined values

$(b) \frac{6 y + 13}{4 y - 9}$

Equate the denominator to zero and solve for the unknown variable.

$4 y - 9 = 0 4 y = 9 y = \frac{9}{4}$

Hence, the undefined value at $y = \frac{9}{4} .$

04

Part c.step 1.find the undefined values

$(c) \frac{b - 8}{b^{2} - 36}$

Equate the denominator to zero and solve for the unknown variable.

$b^{2} - 36 = 0 b^{2} = 36 b = 卤 6$

Hence, the undefined values are at $b = - 6, 6 .$

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Most popular questions from this chapter

In the following exercises, divide the rational expressions.

$\frac{x^{2} + 3 x - 10}{4 x} 梅 (2 x^{2} + 20 x + 50)$

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