Chapter 11: Q 426 (page 1069)

In the following exercise find $R (x) = f (x) - g (x)$ where $f (x)$ and $g (x)$ are givenrole="math" localid="1646710113564" $f (x) = \frac{7}{x + 6}, g (x) = \frac{14 x}{x^{2} - 36}$

Short Answer

Expert verified

The solution is $- \frac{7}{x - 6}$

Step by step solution

Step 1. Given information

$f (x) = \frac{7}{x + 6}, g (x) = \frac{14 x}{x^{2} - 36}$

Step 2. Find Rx=fx-gx

The LCD of $x + 6, x^{2} - 36 : (x + 6) (x - 6)$

Rewrite each rational expression as an equivalent rational expression with LCD. localid="1663033675009" $R (x) = f (x) - g (x) R (x) = \frac{7 (x - 6)}{(x + 6) (x - 6)} - \frac{14 x}{(x + 6) (x - 6)} R (x) = \frac{7 x - 42 - 14 x}{(x + 6) (x - 6)} R (x) = \frac{- 7 (x + 6)}{(x + 6) (x - 6)} R (x) = - \frac{7}{(x - 6)}$

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In the following exercise find $R (x) = f (x) - g (x)$ where $f (x)$ and $g (x)$ are givenrole="math" localid="1646710113564" $f (x) = \frac{7}{x + 6}, g (x) = \frac{14 x}{x^{2} - 36}$

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 fxandgxare givenrole="math" localid="1646710113564" fx=7x+6,gx=14xx2-36

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

Logic and Functions

Probability and Statistics

Statistics

Mechanics Maths

Decision Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercise find $R (x) = f (x) - g (x)$ where $f (x)$ and $g (x)$ are givenrole="math" localid="1646710113564" $f (x) = \frac{7}{x + 6}, g (x) = \frac{14 x}{x^{2} - 36}$