Question

2) Characterize the following functions in terms of whether they are injective, surjective, and/or bijective. If...

2) Characterize the following functions in terms of whether they are injective, surjective, and/or bijective. If possible, find their inverses.

a. ?:ℝ+ → ℝ+ with ?(?) = ?3

b. ?:ℤ+ → ℤ+ with ?(?) = ?3

c. ?:? → ? with ? being the set of calendar dates and ?(?) being the day numbered ? in the next month that has that day. For instance, if ? is January 22, 1981 and ? is March 31, 1993, ?(?) is February 22, 1981 and ?(?) is May 31, 1993.

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