Find Functions F and G So That F ° G $$H ( x ) = \frac { 1 } { x ^ { 2 } - 6 }$$

question 404

Multiple Choice

Find functions f and g so that f ° g = H.
- $$H ( x ) = \frac { 1 } { x ^ { 2 } - 6 }$$

• A) \(f ( x ) = \frac { 1 } { x } ; g ( x ) = \frac { 1 } { x ^ { 2 } } - 9\)
• B) \(f ( x ) = \frac { 1 } { x ^ { 2 } } - 9 ; g ( x ) = \frac { 1 } { x }\)
• C) \(f ( x ) = x ^ { 2 } - 6 ; g ( x ) = \frac { 1 } { x }\)
• D) \(f ( x ) = \frac { 1 } { x } , g ( x ) = x ^ { 2 } - 6\)

---

Definitions:

Antisocial

Behaviors or attitudes that go against societal norms, often reflecting disregard for the rights or feelings of others.

Borderline Personality Disorder

A mental health disorder characterized by unstable moods, behavior, and relationships.

Treatment Options

The range of therapies, medications, surgeries, or interventions available to manage illness, disorder, or disease.

Resistant to Psychotherapy

Describes individuals or conditions that do not respond favorably or as expected to psychotherapeutic interventions, often requiring alternative approaches.