Find the Numbers at Which F Is Continuous $$f ( x ) = \frac { x + 5 } { x ^ { 2 } - 11 x + 24 }$$

question 115

Multiple Choice

Find the numbers at which f is continuous. At which numbers is f discontinuous?
- $$f ( x ) = \frac { x + 5 } { x ^ { 2 } - 11 x + 24 }$$

• A) continuous for all real numbers except \(x = - 8 , x = - 3\)
• B) continuous for all real numbers except \(x = 8 , x = 3\)
• C) continuous for all real numbers except \(x = - 5 , x = 8\), and \(x = 3\)
• D) continuous for all real numbers except \(x = 5 , x = - 8\), and \(x = - 3\)

---

Definitions:

Negative Events

Unfavorable or detrimental occurrences that can impact individuals or groups emotionally, physically, or materially.

Positive Ones

Refers to situations, experiences, or aspects that have a beneficial impact on an individual's life or well-being.

Feeling of Superiority

An attitude or belief that one is more valuable or important than others, often leading to dismissive or condescending behavior.

Negative Energy

A concept often used to describe a feeling or atmosphere of pessimism, unhappiness, or toxicity that can affect individuals’ mood and well-being.