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Notation Confusion in Linear Transformations

  1. May 3, 2013 #1
    I'm just having trouble understanding some of the notations given, when attempting questions such as the following:

    {f[itex]\in[/itex]F(ℝ,ℝ): f(3)=5}.

    Is it just saying that, the function 'f' spans all real values?
  2. jcsd
  3. May 3, 2013 #2


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    That is saying that f is a function from the set of real numbers to the set of real numbers, such that when x= 3, f(x)= 5.

    It does NOT necessarily mean that the range of f includes all real numbers, just that the range is some subset of the real numbers.
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