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Chapter 0: Problem 2

Find all numbers that must be excluded from the domain of each rational expression. $$\frac{13}{x+9}$$

Short Answer

Expert verified
The number that should be excluded from the domain of the given rational expression is \(x = -9\).

Step by step solution

01

Identify the denominator

In the rational expression \( \frac{13}{x+9} \), the denominator is \( x+9 \). Set this equal to zero because any number that makes the denominator zero will be excluded from the domain.
02

Solve for \(x\)

To find the value that makes the denominator equal to zero, solve the equation \( x+9 = 0 \). Subtract 9 from both sides of the equation to get \( x = -9 \).
03

State the numbers to be excluded from the domain

The expression \( \frac{13}{x+9} \) is undefined when the denominator equals zero. In other words, the expression is only defined when x is not equal to -9.

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