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:

Central Traits

Fundamental personality characteristics that are considered core to an individual's identity, according to Allport's theory.

Grace

A quality of acting with kindness, compassion, and care, often without expecting anything in return.

Psychologically Healthy

Refers to the state of mental well-being where individuals realize their own abilities, can cope with the normal stresses of life, work productively, and contribute to their community.

Trait Theory

A psychological approach that focuses on identifying, classifying, and measuring individual personality characteristics or traits.