MATH 1201: COLLEGE ALGEBRA DISCUSSION ASSIGNMENT UNIT 4
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→ 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: 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 o lady be defined? What about lady o pres?
2. Which of the following functional inverses exist and which do not? presˉ¹, ladyˉ¹, (lady o pres)ˉ¹, (pres o lady) ˉ¹
An answer to the given equation:
1→ I think (pres o Lady)
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→ 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: 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 o lady be defined? What about lady o pres?
2. Which of the following functional inverses exist and which do not? presˉ¹, ladyˉ¹, (lady o pres)ˉ¹, (pres o lady) ˉ¹
An answer to the given equation:
1→ I think (pres o Lady)