Determine the Domain and Range of the Inverse Function $f ^ { - 1 }$

question 93

Multiple Choice

Determine the domain and range of the inverse function $f ^ { - 1 }$ of the following function $f$ $f ( x ) = - | x + 7 | - 1$ , where $x > - 7$

• A) Domain: \([ - 7 , \infty )\); Range: \([ - 1 , \infty )\)
• B) Domain: \(( - \infty , - 1 ]\); Range: \([ - 7 , \infty )\)
• C) Domain: \([ - 7 , - 1 ]\); Range: \([ - 7 , \infty )\)
• D) Domain: \(( - \infty , - 7 ]\); Range: \([ 1 , \infty )\)
• E) Domain: \(( - \infty , \infty )\); Range: \(( - \infty , \infty )\)

---

Definitions:

Stanford Mock Prison Experiment

A psychological study conducted in 1971 at Stanford University to investigate the effects of perceived power, focusing on the struggle between prisoners and prison officers.

Socialization

The process through which individuals learn and internalize the values, beliefs, and norms of their society, thus becoming functioning members of that society.

Flexibility Of The Self

Flexibility of the self refers to an individual's ability to adapt their identity and behavior in response to changes in their environment or social context.

Cosmetic Surgery

Surgical procedures aimed at enhancing or altering one's appearance for cosmetic rather than medical reasons.