Find Domain of the Following Function $$g ( x ) = \frac { x ^ { 2 } - 9 } { x ^ { 2 } - 4 x + 3 }$$

question 67

Multiple Choice

Find domain of the following function. $$g ( x ) = \frac { x ^ { 2 } - 9 } { x ^ { 2 } - 4 x + 3 }$$

• A) all real numbers \(x\) except \(x = - 9\) and \(x = - 1\)
• B) all real numbers \(x\) except \(x = 4\) and \(x = 9\)
• C) all real numbers \(x\) except \(x = - 4\) and \(x = 3\)
• D) all real numbers \(x\) except \(x = - 3\) and \(x = 1\)
• E) all real numbers \(x\) except \(x = 3\) and \(x = 1\)

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Definitions:

Reactance Theory

A psychological concept suggesting that people often have negative reactions to being forced or pressured to change their behavior, feeling a need to regain control or freedom.

Precontemplation Stage

The precontemplation stage is a phase in behavior change models where an individual is not yet considering change or is unaware of the need for change.

Introspection

The examination or observation of one's own mental and emotional processes.

Ineptness

A lack of skill, ability, or competence in a particular area.