Question 1040391: 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 the 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: Can the composition pres o lady be defined? What about lady o pres?
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! The composition pres o lady cannot be defined, since the value of the function lady has the name of a first lady as a function value, but the function pres has the dates of presidential inauguration as domain values.
The composition lady o pres CAN be defined. The function pres has range values from P, which can be substituted into the function lady.
Symbolically,
D-->P-->F,
or the composition would bring D into P into F.
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