Decide Whether or Not the Functions Are Inverses of Each $$f ( x ) = x ^ { 3 } - 6 , \quad g ( x ) = \sqrt [ 3 ] { x + 6 }$$

question 382

Multiple Choice

Decide whether or not the functions are inverses of each other.Use the definition of inverses to determine whether f and g are inverses.
- $$f ( x ) = x ^ { 3 } - 6 , \quad g ( x ) = \sqrt [ 3 ] { x + 6 }$$

• A) Yes
• B) \(\mathrm { No }\)

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Definitions:

Implicit Motivation

The unconscious drive that influences behaviors and decision-making, often without the individual's aware intent.

Explicit Motivation

A type of motivation that stems from conscious goals, desires, or needs of an individual.

Operant Conditioning

A method of learning that employs rewards and punishments for behavior, emphasizing the idea that behavior is influenced by its consequences.

Classical Conditioning

A learning process in which a neutral stimulus becomes associated with a meaningful stimulus and acquires the capacity to elicit similar responses.