Discussion Problem: Let be the set of all calendar dates from 4/30/1789 to 9/25/2014. Let be the set of names of U. presidents. Let be the set of…
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Discussion Problem:
Let
be the set of all calendar dates from 4/30/1789 to 9/25/2014.
Let
be the set of names of U.S. presidents.
Let
be the set of names of first ladies of the U.S.
Consider the following two functions
where
is the name of the president of the U.S. on date
(the incumbent on inauguration days, to avoid ambiguity) and
where
is the name of the first lady of the U.S. during the presidency of president
.
1. Can the composition
be defined? What about
?
2. Which of the following functional inverses exist and which do not?
,
,
,
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