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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 -9 needs to be excluded from the domain of the given rational expression.

Step by step solution

01

Identify the Denominator

The denominator of the given rational expression is \(x+9\). This part of the expression cannot be equal to zero, because division by zero would make the expression undefined.
02

Set the Denominator Equal to Zero

Set the denominator \(x+9\) equal to zero. The equation to solve is \(x + 9 = 0\).
03

Solve for x

Solve the equation for x by subtracting 9 from both sides, which gives \(x = -9\).
04

Identify the Excluded Number

The solution of the equation is the number that must be excluded from the domain of the rational expression.

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Most popular questions from this chapter

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