Find All Numbers for Which the Rational Expression Is Not $$\frac { x ^ { 2 } - 81 } { x ^ { 2 } - 7 x + 12 }$$

question 41

Multiple Choice

Find all numbers for which the rational expression is not defined.
- $$\frac { x ^ { 2 } - 81 } { x ^ { 2 } - 7 x + 12 }$$

• A) \(x = 0\)
• B) \(x = 9\) and \(x = - 9\)
• C) \(x = - 3\) and \(x = - 4\)
• D) \(x = 3\) and \(x = 4\)

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Definitions:

Opportunity Cost

The cost of forgoing the next best alternative when making a decision or choosing between multiple options.

Deadweight Loss

The loss of economic efficiency that occurs when the equilibrium for a good or service is not achieved, often due to market distortions like taxes or subsidies.

Tax

A compulsory monetary fee or different form of levy placed on a taxpayer by a government body to finance government expenses and various public outlays.

Opportunity Cost

The cost of choosing one option over another, represented by the value of the foregone alternative.