Find F(x) and G(x) So That the Given Function H(x) $h ( x ) = \sqrt [ 3 ] { x + 8 }$

question 90

Multiple Choice

Find f(x) and g(x) so that the given function h(x) = (f ° g) (x) .
- $h ( x ) = \sqrt [ 3 ] { x + 8 }$

• A) \(f ( x ) = \sqrt { x } ; g ( x ) = x + 8\)
• B) \(f ( x ) = x ^ { 3 } ; g ( x ) = x + 8\)
• C) \(f ( x ) = \sqrt [ 3 ] { x } ; g ( x ) = x + 8\)
• D) \(f ( x ) = x + 8 ; g ( x ) = \sqrt [ 3 ] { x }\)

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Definitions:

Empathy

The capacity to comprehend and empathize with another individual's emotions, effectively placing oneself in the position of another.

Compassion

The feeling of empathy and concern for the suffering or misfortune of others, often accompanied by a desire to help.

Openness To Experience

How interested a person is in trying new activities and playing with new ideas, beliefs, and value systems; part of the Big Five personality traits.

Self-expansion

A psychological model suggesting individuals enhance their self-concept through the inclusion of others' characteristics, resources, and perspectives.