Find the Domain and Range of the Inverse of the Given

question 192

Multiple Choice

Find the domain and range of the inverse of the given function.
- $$f ( x ) = \sqrt { x - 2 }$$

• A) Domain: \([ 0 , \infty )\); range: \([ 2 , \infty )\)
• B) Domain and range: all real numbers
• C) Domain: \([ 2 , \infty )\); range: \([ 0 , \infty )\)
• D) Domain: all real numbers; range: \([ 2 , \infty )\)

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Definitions:

Psychopath

An individual with a personality disorder characterized by persistent antisocial behavior, impaired empathy and remorse, and bold, disinhibited, and egotistical traits.

Borderline Personality Disorder

A mental health disorder characterized by pervasive instability in moods, interpersonal relationships, self-image, and behavior, often leading to impulsive actions and problems in relationships.

Depressive Personality Disorder

A personality disorder characterized by chronic feelings of sadness, emptiness, and emotional instability.

Clusters

Groups of personality disorders. DSM-IV-TR lists 10 personality disorders in three clusters: (A) odd and eccentric disorders (paranoid, schizoid, and schizotypal); (B) dramatic, emotional, or erratic disorders (antisocial, borderline, histrionic, and narcissistic); and (C) anxious and fearful disorders (avoidant, dependent, and obsessive-compulsive).