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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. 425 (page 736)

In the following exercise, find $R (x) = f (x) - g (x)$ where $f (x)$ and $g (x)$ are given.role="math" localid="1646709538279" $f (x) = \frac{4 x}{x^{2} - 121}, g (x) = \frac{2}{x - 11}$

Short Answer

Expert verified

The solution is $\frac{2}{x + 11}$

Step by step solution

01

Step 1. Given Information

$f (x) = \frac{4 x}{x^{2} - 121}, g (x) = \frac{2}{x - 11}$

02

Step 2. Find Rx=fx-gx

The LCD of $x^{2} - 121, x - 11 : (x + 11) (x - 11)$

Rewrite each rational expression as an equivalent rational expression with LCD. $R (x) = f (x) + g (x) R (x) = \frac{4 x}{(x + 11) (x - 11)} - \frac{2 (x + 11)}{(x + 11) (x - 11)} R (x) = \frac{4 x - 2 (x + 11)}{(x + 11) (x - 11)} R (x) = \frac{2 x - 22}{(x + 11) (x - 11)} R (x) = \frac{2}{x + 11}$

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Most popular questions from this chapter

In the following exercise, find

(a) $R (x) = f (x) + g (x)$

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