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empty set

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The empty set 2008-09-29
From wahab:
Why a null set is called a set? the definition of set includes that a set is a collection of well defined objects But a null set is having no value.
Answered by Harley Weston.
The empty set is a subset of every set 2006-11-14
From Narayana:
The empty set is a subset of every set
Answered by Stephen La Rocque and Penny Nom.
Composition of functions 2002-04-06
From Yvonne:
In our new text book, the following question occurs: State the domain and range of g(f(x))given that f(x) = -x2 - 4 and g(x) = sqrt(x)

The range of f(x), x<=-4, is the domain of g(x). BUT, there is no solution in the Real numbers for g(f(x))= sqrt(-x2 - 4).

In the solutions it says that this is not a function and therefore does not have a domain or range. Is it a relation? Is it anything?


Answered by Claude Tardif.
 
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