Question

Need this answered ASAP can’t find it anywhere online

Answer 1

The value of the rational expression when x = -3 is undefined.

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra II

Rational Functions

• Asymptotes, Holes

Explanation:

Step 1: Define

Identify given.

`\displaystyle (x)/(x^2 - 9) ,\ x = -3`

Step 2: Find Value

1. [Rational Expression] Substitute in x:
   
   `\displaystyle\begin{aligned}(x)/(x^2 - 9) ,\ x = -3 & \rightarrow (-3)/((-3)^2 - 9) \\\end{aligned}`
2. [Order of Operations] Evaluate:
   
   `\displaystyle\begin{aligned}(x)/(x^2 - 9) ,\ x = -3 & \rightarrow (-3)/((-3)^2 - 9) \\& \rightarrow (-3)/(0)\end{aligned}`

∴ since we can't divide by 0, our rational expression when x = -3 will have to be undefined.

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Topic: Algebra II