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

question 28

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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:

Friction

The resistance that one surface or object encounters when moving over another, usually resulting in the generation of heat.

Ocean Currents

Large-scale movements of seawater that circulate the global oceans, significantly influencing climate and marine ecosystems.

Stratified

Layered or arranged in layers, often referring to the structure of tissues in biology or the arrangement of sedimentary rocks in geology.

Abyssal

Refers to the deepest parts of the ocean, typically areas below 2,000 meters, characterized by very low temperatures, high pressures, and complete darkness.

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