Chapter 8: Q. 2 (page 917)

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

Short Answer

Expert verified

The required values for which the given expressions are undefined,

$Part (a) n = 0 Part (b) y = \frac{9}{4} Part (c) b = \pm 6$

Step by step solution

Part(a) Step 1. Given Information

The given expressions are

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

Part (a) Step 2. Calculation

Set the denominator equal to zero and solve for the variable to determine for which values the given expression is undefined.

$11 n = 0 n = 0$

Part (b) Step 1. Calculation

Set the denominator equal to zero and solve for the variable to determine for which values the given expression is undefined.

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

Part(c) Step 1. Calculation

Set the denominator equal to zero and solve for the variable to determine for which values the given expression is undefined.

$b^{2} - 36 = 0 b^{2} = 36 b = \sqrt{36} b = \pm 6$

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

Short Answer

Step by step solution

Part(a) Step 1. Given Information

Part (a) Step 2. Calculation

Part (b) Step 1. Calculation

Part(c) Step 1. Calculation

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In the following exercises, determine the values for which the rational expression is undefined. (a)10m11n(b)6y+134y-9(c)b-8b2-36

Short Answer

Step by step solution

Part(a) Step 1. Given Information

Part (a) Step 2. Calculation

Part (b) Step 1. Calculation

Part(c) Step 1. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Geometry

Pure Maths

Applied Mathematics

Probability and Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

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