Find F(x) and G(x) So That the Given Function H(x) $h ( x ) = \left( 9 - 3 x ^ { 3 } \right) ^ { 2 }$

question 158

Multiple Choice

Find f(x) and g(x) so that the given function h(x) = (f ° g) (x) .
- $h ( x ) = \left( 9 - 3 x ^ { 3 } \right) ^ { 2 }$

• A) \(f ( x ) = x ^ { 2 } ; g ( x ) = 9 - 3 x\)
• B) \(f ( x ) = x ^ { 2 } ; g ( x ) = 9 - 3 x ^ { 3 }\)
• C) \(f ( x ) = 9 - 3 x ^ { 2 } ; g ( x ) = x ^ { 3 }\)
• D) \(f ( x ) = 9 - 3 x ^ { 3 } ; g ( x ) = x ^ { 2 }\)

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Definitions:

Drive Theories

Psychological theories that explain motivation as being driven by the need to fulfill basic biological needs, such as hunger or thirst.

Biological Drives

Innate impulses that drive behavior and ensure survival, such as hunger, thirst, and the need for sleep.

External Rewards

Benefits or incentives provided by an external source, such as money, praise, or awards, that motivate behavior.

Biological Drives

Innate impulses that direct or motivate behavior, such as hunger, thirst, and the drive for sex.