Determine Whether (F  G)(x) = X and Whether (G $$f ( x ) = x ^ { 3 } + 8 , g ( x ) = \sqrt [ 3 ] { x - 8 }$$

question 181

Multiple Choice

Determine whether (f  g) (x) = x and whether (g  f) (x) = x.
- $$f ( x ) = x ^ { 3 } + 8 , g ( x ) = \sqrt [ 3 ] { x - 8 }$$

• A) Yes, no
• B) No, no
• C) Yes, yes
• D) No, yes

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Definitions:

Anxious Personality Disorders

A category of personality disorders characterized by pervasive feelings of anxiety and fear, significantly impacting daily functioning and interpersonal relationships.

Obsessive-compulsive

Relating to a disorder characterized by recurring, intrusive thoughts (obsessions) and repetitive behaviors or mental acts that an individual feels driven to perform (compulsions).

Antisocial Personality

A type of chronic mental disorder where a person's way of thinking, perceiving situations, and relating to others is dysfunctional and destructive.

Psychopaths

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