$\text { Use the Quotient Rule to differentiate the function } f ^ {t } ( x ) = \frac { 4 + x } { x ^ { 2 } + 9 } \text {. }$

question 32

Multiple Choice

$\text { Use the Quotient Rule to differentiate the function } f ^ {t } ( x ) = \frac { 4 + x } { x ^ { 2 } + 9 } \text {. }$

• A) \(f ^ { t } ( x ) = \frac { \left( 9 + 8 x - x ^ { 2 } \right) } { \left( x ^ { 2 } + 9 \right) ^ { 2 } }\)
• B) \(f ^ { t } ( x ) = \frac { \left( 9 - 8 x - x ^ { 2 } \right) } { \left( x ^ { 2 } + 9 \right) ^ { 2 } }\)
• C)\(f ^ { t} ( x ) = \frac { \left( 9 - 4 x - x ^ { 2 } \right) } { \left( x ^ { 2 } + 9 \right) ^ { 2 } }\)
• D)\(f ^ { t } ( x ) = - \frac { \left( 9 - 8 x - x ^ { 2 } \right) } { \left( x ^ { 2 } + 9 \right) ^ { 2 } }\)
• E)\(f ^ { t } ( x ) = \frac { \left( 9 - 8 x + x ^ { 2 } \right) } { \left( x ^ { 2 } + 9 \right) ^ { 2 } }\)

---

Definitions:

High-risk Sexual Offender

An individual identified as posing a significant threat of committing sexual crimes, often subject to additional monitoring.

Law Enforcement

Government agencies and officers responsible for preventing crime and ensuring public safety.

Traditionally Male Occupations

Professions and job roles historically dominated by men, often characterized by physical labor, technical skills, or leadership positions.

Respect and Protectiveness

Treating someone with honor and care, often with a focus on safeguarding their well-being and rights.