Let P be the set of names of U.S. presidents, algebra homework help

May 1st, 2016
Sigchi4life
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Price: $5 USD

Question description

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 press : D ⇒ 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 ⇒ F   where   lady(p)   is the name of the first lady of the U.S. during the presidency of president   P.



1. Can the composition  pres ° lady   be defined?  What about  lady °  pres ?

2. Which of the following functional inverses exist and which do not?
   pres-1, lady-1, (lady°pres)-1, (pres°lady)-1   (the -1 should be in superscript)

Thank you.


Tutor Answer

(Top Tutor) Daniel C.
(997)
School: UIUC
PREMIUM TUTOR

1) We know the function pres(d) takes in dates and outputs names of presidents, and that the function lady(p) takes in presidents and outputs names of first ladies. The composition pres ° lady, or pres(lady(p)), is not a defined f...

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