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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 388 (page 737)

Multiply $\frac{6 y^{2} - 2 y - 10}{9 - y^{2}} . \frac{y^{2} - 6 y + 9}{6 y^{2} + 29 - 20}$

Short Answer

Expert verified

The rational expression is undefined when $y = 0 .$

Step by step solution

01

Step 1. Given Information

Given that the expression is $\frac{6 y^{2} - 2 y - 10}{9 - y^{2}} . \frac{y^{2} - 6 y + 9}{6 y^{2} + 29 - 20}$

02

Step 2. Simplification

Take rational expression as $\frac{3 {xy}^{2}}{5 y} .$ The expression can be undefined which is equal to zero to solve the variable.

$5 y = 0 y = 0$

The rational expression is undefined when $y = 0 .$

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Most popular questions from this chapter

In the following exercises, divide the rational expressions.

$\frac{10 + w}{w - 8} \div \frac{100 - w^{2}}{8 - w}$

For the following exercises, find $R (x) = f (x) . g (x)$ where $f (x) a n d g (x)$ are given.

$f (x) = \frac{4 x}{x^{2} - 3 x - 10} a n d g (x) = \frac{x^{2} - 25}{8 x^{2}}$

For the following exercises, perform the indicated operations.
$\frac{12 p^{2} + 3 p}{p + 3} \div \frac{p^{2} + 2 p - 63}{p^{2} - p - 12} . \frac{p - 7}{9 p^{3} - 9 p^{2}}$

For the following exercises, find $R (x) = f (x) g (x)$ where $f (x) a n d g (x)$ are given.

$f (x) = \frac{2 x^{2} + 8 x}{x^{2} - 9 x + 20} a n d g (x) = \frac{x - 5}{x^{2}}$

In the following exercises, solve each rational inequality and write the solution in interval notation.

$\frac{1}{x^{2} - 16} < 0$

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