For the Given Rational Functions F(x) and G(x), F(x) -G(x) $$f ( x ) = \frac { 2 x + 6 } { x ^ { 2 } + 4 x + 3 } , g ( x ) = \frac { x + 3 } { x ^ { 2 } + 4 x + 3 }$$

question 6

Multiple Choice

For the given rational functions f(x) and g(x) , f(x) -g(x) .
- $$f ( x ) = \frac { 2 x + 6 } { x ^ { 2 } + 4 x + 3 } , g ( x ) = \frac { x + 3 } { x ^ { 2 } + 4 x + 3 }$$

• A) \(\frac { 1 } { x + 1 }\)
• B) \(\frac { 7 } { x ^ { 2 } + 4 x + 3 }\)
• C) \(x + 3\)
• D) \(\frac { x + 9 } { x ^ { 2 } + 4 x + 3 }\)

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Definitions:

Superordinate Group

A group that is formed from members of two or more separate groups, focusing on shared goals or identity rather than differences.

Cross-cutting Category

A classification that intersects multiple traditional groups or segments, allowing for a more nuanced understanding or analysis of a subject.

Prototype

An original model or preliminary version from which other forms are copied or developed, often used in design and testing phases.

Outgroup

A social group to which an individual does not identify or belong, often viewed as fundamentally different or in opposition.