Determine Which of the Rational Functions Given Below Has the Following

question 432

Multiple Choice

Determine which of the rational functions given below has the following feature(s) .
-There is a "hole" in its graph at x = 3

• A) \(f ( x ) = \frac { x + 3 } { ( x + 9 ) ( x + 3 ) }\)
• B) \(f ( x ) = \frac { 3 x - 1 } { x + 9 }\)
• C) \(f ( x ) = \frac { ( x - 3 ) ( x + 9 ) } { ( x + 5 ) ( x - 3 ) }\)
• D) \(f ( x ) = \frac { x + 9 } { x - 3 }\)

---

Definitions:

Reluctant Agent

A person or entity that acts with hesitation or unwillingness, typically in a scenario requiring action or decision-making.

Social Reference

The use of external sources, such as people or standards, to guide behavior and attitudes.

Legitimate Parent

A parent who has legal recognition as the lawful mother or father of a child, often in the context of marital status or legal acknowledgment.

Identity Diffusion

A state in which an individual has not yet achieved a sense of identity or clear direction in life, often characterized by lack of commitment to goals or values.