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Define set from given function and a subset. Abstract math

by beatka6
Tags: abstract, define, function, math, subset
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beatka6
#1
Apr3-12, 04:16 PM
P: 21
1. The problem statement, all variables and given/known data
Let f: Z to ZxZ be the function defined f(t)=(3t, 3t+1) . Let B denote the subset of ZxZ defined by B={ (5m, 5m+1) : m is an element of Z}. Determine f^-1(B). This means that you should define set S with a property of S=f^-1(B). In addition, your definition of S should make no mention of the function f.


2. Relevant equations



3. The attempt at a solution
From what I understand first we have to find f(B), but B is a subset of ZxZ not Z therefore I don't know what to do with this. Please help.
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sunjin09
#2
Apr5-12, 07:36 PM
P: 312
f^{-1}(B) is defined as {t[itex]\in[/itex]Z | f(t)[itex]\in[/itex]B}, i.e., the collection of t's such that f(t) is in B.
jaostar13
#3
Apr5-12, 10:24 PM
P: 1
It says that it should have no mention of f in the defined set.


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