Find the Domain of the Function F and of Its $$f ( x ) = \cos ( x - 3 ) + 4$$

question 173

Multiple Choice

Find the domain of the function f and of its inverse function f-1.
- $$f ( x ) = \cos ( x - 3 ) + 4$$

• A) Domain of \(\mathrm { f } : ( \infty , \infty )\)
• Domain of \(f ^ { - 1 } : [ - 5 , - 3 ]\)
• B) Domain of \(f : ( \infty , \infty )\)
• Domain of \(\mathrm { f } ^ { - 1 } : ( \infty , \infty )\)
• C) Domain of \(f : ( \infty , \infty )\)
• Domain of \(f ^ { - 1 } : [ 3,5 ]\)
• D) Domain of \(\mathrm { f } : [ - 3,3 ]\)
• Domain of \(\mathrm { f } ^ { - 1 } : ( \infty , \infty )\)

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Definitions:

Empiricism

A philosophical stance emphasizing that knowledge comes primarily from sensory experience.

Culturally Determined

Influenced or shaped by the customs, traditions, and social norms of a particular society or group.

Foucault

A French philosopher, social theorist, and historian of ideas, known for his critical studies of social institutions and his theories on power, knowledge, and disciplinary society.

Skepticism

A philosophical approach that questions the possibility of certainty in knowledge.