Determine Whether the Statement Is True or False $\mathrm { f } ^ { - 1 }$

question 85

True/False

Determine whether the statement is true or false.
-If a function f has an inverse function and the domain of f is all real numbers, then the domain of $\mathrm { f } ^ { - 1 }$ must also be all real numbers.

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Definitions:

Genealogical Differences

Variations or distinctions found within family lineages or ancestries, which can impact inheritance, cultural identity, and social standing.

Totems

Objects, animals, or plants considered by certain societies to have spiritual significance and often acting as emblems for clans or families.

Clan Groups

Social groups characterized by common descent from a shared ancestor, often forming the basic units in tribal societies.

Mythical Origin

Pertains to a legendary or fictional account explaining the beginning or creation of something, often involving gods or supernatural events.