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Need this answered ASAP can’t find it anywhere online-example-1
User Zaphoid
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Answer:

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.

___

Topic: Algebra II

User Steakpi
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