Given $f ( x ) = \frac { 1 } { x + 2 }$

question 28

Essay

Given $f ( x ) = \frac { 1 } { x + 2 }$ and $g ( x ) = \frac { 1 } { x - 2 }$ , find $f \circ g$ , $g \circ f$ , $f \circ f$ , and $g \circ g$ , and their domains.

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Definitions:

Punitive Damages

Monetary compensation awarded to an aggrieved party, beyond actual damages, intended to punish the defendant and deter similar conduct.

Dog Running Free

The act of a dog moving freely in a public or private space without being restrained by a leash or confined area.

Res Ipsa Loquitur

is a legal doctrine that allows for the assumption of negligence in cases where the accident that occurred is of a type that usually doesn't happen without negligence.

Plaintiff

The party who initiates a lawsuit before a court against another party, known as the defendant.