Find the Domain of the Function F and of Its $\mathrm { f } ^ { - 1 }$

question 23

Multiple Choice

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

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

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The monetary gain derived from wages, salaries, investments, or other sources over a period of time.

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The average number of children a woman is expected to give birth to during her lifetime, based on current birth rates.

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The period in an individual's life, typically between puberty and menopause, when they are biologically capable of conceiving and bearing children.

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A series of stages through which a family progresses over time, including single adulthood, marriage, parenthood, and retirement.