SOLUTION: Can I please have your assistance? Let D be the set of all calendar dates from 4/30/1789 to 9/25/2014. Let P be the set of names of U.S presidents. Let F be the set of names of fir

Question 1040392: Can I please have your assistance? Let D be the set of all calendar dates from 4/30/1789 to 9/25/2014. Let P be the set of names of U.S presidents. Let F be the set of names of first ladies of the U.S. Consider the following two functions pres: D arrow P where pres (d) is the name of the president of the U.S on date d (the incumbent on inauguration days, to avoid ambiguity) and lady: P arrow F where lady (p) is the name of the first lady of the U.S. during the presidency of president p. Question: Which of the following functional inverses exist and which do not? pres -1, lady -1 (lady o pres) -1, (pres o lady) -1
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
(pres o lady)-1 or will not exist, because pres o lady is undefined.

(lady o pres)-1 or exists, because any first lady can be matched to only one presidential inauguration date (of her president husband.)
exists, because any first lady can be matched to only one president (who is her husband). (No first lady was ever a wife to two
different presidents.)
exists, because any president can be matched to exactly one inauguration date. (No president has two inauguration dates, at
least in theory...)

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