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

Step 1. Given Information

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

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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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

Step by step solution

Step 1. Given Information

Step 2. Find Rx=fx-gx

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In the following exercise, find Rx=fx-gxwhere fxand gxare given.role="math" localid="1646709538279" fx=4xx2-121,gx=2x-11

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find Rx=fx-gx

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Probability and Statistics

Discrete Mathematics

Logic and Functions

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

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