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Given f(x)=2+x2f ( x ) = 2 + x ^ { 2 }

question 51

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Given f(x)=2+x2f ( x ) = 2 + x ^ { 2 } and g(x)=x1g ( x ) = \sqrt { x - 1 }
, find (fg)(2)( f \circ g ) ( 2 ) , (ff)(2)( f \circ f ) ( 2 )

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Definitions:

Conscious Perception

The awareness of one's environment and one's own existence, sensations, and thoughts.

Allport

Gordon Allport was an influential American psychologist known for his trait theory of personality, emphasizing the uniqueness of the individual and the importance of the current context for understanding behavior.

Conscious Rational Way

A mode of thinking and decision-making where individuals deliberately use reason and logic, being aware of their thought processes.

Forces That Motivate

The various internal and external factors that compel individuals to take action or behave in a certain manner.

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