The Function F Is One-To-One $$f ( x ) = x ^ { 3 } + 4$$

question 218

Multiple Choice

The function f is one-to-one. Find its inverse.
- $$f ( x ) = x ^ { 3 } + 4$$

• A) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x - 4 }\)
• B) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x + 4 }\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 3 ] { \mathrm { x } } + 4\)
• D) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x } - 4\)

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Definitions:

Therapeutic Relationship

The professional and interpersonal relationship between a therapist and client, crucial for effective therapy.

Unconditional Positive Regard

A concept in client-centered therapy emphasizing nonjudgmental empathy and acceptance of the client.

Technical Eclecticism

A therapeutic approach that involves combining techniques from different therapies based on their effectiveness rather than adherence to a single theoretical framework.

Psychopathology

The scientific study of mental disorders, including their symptoms, causes, and treatment.