Find the Intervals on Which the Function Is Continuous $$y = \frac { x + 5 } { x ^ { 2 } - 7 x + 12 }$$

question 164

Multiple Choice

Find the intervals on which the function is continuous.
- $$y = \frac { x + 5 } { x ^ { 2 } - 7 x + 12 }$$

• A) discontinuous only when \(x = 3\) or \(x = 4\)
• B) discontinuous only when \(x = 3\)
• C) discontinuous only when \(x = - 3\) or \(x = 4\)
• D) discontinuous only when \(x = - 4\) or \(x = 3\)

---

Definitions:

Poor

A term used to describe individuals or groups who lack financial resources or sufficient income to meet basic living necessities.

Newly Industrialized Countries

Countries that are transitioning from primarily agricultural to primarily manufacturing and industrial activities.

Neo-Capitalist Nations

Countries that have adopted updated or modified forms of capitalism, reflecting a blend of traditional capitalist principles with new policies or social systems.

Industrialize

The process by which a society or country transforms itself from a primarily agricultural society into one based on the manufacturing of goods and services.