Determine Whether $$( f \circ g ) ( x ) = x \text { and whether } ( g \circ f ) ( x ) = x \text {. }$$

question 117

Multiple Choice

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

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

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Definitions:

Self-concept Threat

A psychological situation where an individual's identity or self-image is challenged, leading to discomfort and possible changes in behavior or beliefs.

Uncertainty Avoidance

A cultural dimension that describes the extent to which members of a culture feel uncomfortable with ambiguity and uncertainty.

Stereotype Threat

The risk of conforming to stereotypes about one's social group, which can negatively affect the performance and behavior of individuals.

Self-construal

An individual's perception of the self in relation to others and the environment, encompassing aspects of individualism and collectivism.