For the Given F(x - $$f ( x ) = x ^ { 2 } + 8 x + 7 ; g ( x ) = x + 2$$

question 78

Multiple Choice

For the given f(x $$f ( x ) \text { and } g ( x ) \text {, find } \frac { f ( x ) } { g ( x ) } \text {. Also find any } x \text {-values that are not in the domain of } \frac { f ( x ) } { g ( x ) }$$
- $$f ( x ) = x ^ { 2 } + 8 x + 7 ; g ( x ) = x + 2$$

• A) \(x + 6 - \frac { 5 } { x + 2 } ; x \neq 2\)
• B) \(x + 6 + \frac { 5 } { x + 2 } ; x \neq - 2\)
• C) \(x + 6 - \frac { 5 } { x + 2 } ; x \neq - 2\)
• D) \(x + 6 - \frac { 5 } { x + 2 } ; x \neq 0\)

---

Definitions:

Permanent

Lasting or intended to last or remain unchanged indefinitely.

Uncontrollable

Not able to be controlled, managed, or governed.

Mood Disorders

A category of mental disorders involving persistent disturbances in mood or emotional state, such as depression or bipolar disorder.

Cortisol

A hormone secreted by the adrenal cortex that elevates blood sugar and protects the body’s tissues in case of injury; if chronically elevated due to stress, it can lead to hypertension, immune disorders, other illnesses, and possibly depression.