Transcribed Image Text: 5. Let S be the set of all finite strings of a’s and b’s. . Define f : S → Z as
Transcribed Image Text: 5. Let S be the set of all finite strings of a’s and b’s. . Define f : S → Z as follows: For
each string s in S,
the number of a’s in s if s begins with an a
f(s):
f(s) =
the number of b’s in s if s begins with a b
O if s = €, that is, if s is the empty word
Find the following:
(a) f(aba) =
(b) f(bbab):
(c) is the range of f? Explain.
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