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Function and inverses

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Function and inverses
Christim
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Joined: Feb 28, 2009

Total Topics: 17
Total Posts: 20
Posted 10/16/09 - 04:32 PM:
Subject: Function and inverses
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#1
Given a function f:A --> B, let T be a subset of B.
The "inverse image" of T is written here as f-inv(T)
and is defined as follows:

f-inv(T) = {x in A | EXISTS y in T, such that x is the preimage of y}

Put another way,

f-inv(T) = {x in A | f(x) in T}

Now suppose f:R --> R What is f-inv({x | x>4}) ?

Edited by Christim on 10/17/09 - 05:20 AM
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