The notation {f ∈ F(ℝ, ℝ): f(3) = 5} indicates that 'f' is a function mapping from the set of real numbers to the set of real numbers, specifically defined such that when x equals 3, f(x) equals 5. This notation does not imply that the range of 'f' encompasses all real numbers; rather, it signifies that the range is a subset of the real numbers. Understanding this distinction is crucial for interpreting linear transformations accurately.
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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.Offlinedoctor said: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?