SOLUTION: 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 t

Question 1135321: 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?
, , ,

Answer by greenestamps(13214) (Show Source): You can put this solution on YOUR website!

Use only standard keyboard characters to post your question. As I hope you can see, many characters in your post did not print, making the question unreadable.
RELATED QUESTIONS
Can I please have your assistance? Let D be the set of all calendar dates from 4/30/1789... (answered by robertb)

Can I please have your assistance? Let D be the set of all calendar dates from 4/30/1789... (answered by robertb)

Let V be the set of all real-valued functions (answered by ikleyn)

1. Let the universal set U be the set of all Brooklyn College students. Let F be the set... (answered by solver91311)

Let S be the universal set, where: S = {1,2,3,...,18,19,20} Let sets A and B be subsets (answered by tommyt3rd)

Let the universe be the set U = {1,2,3,...,10}. Let A = {1,4,7,10}, B = {1,2,3,4,5} and... (answered by ikleyn)

Hello , Are my answers correct? Let S be the universal set, where: S... (answered by ikleyn)

Consider set A to include all the natural numbers from 1 to 4n, let S be the sum... (answered by ikleyn)

Let S be the universal set, where: S = {1,2,3,...,28,29,30} Let sets A and B be subsets... (answered by MathLover1,ikleyn)