Domain of a Variable

mathdad

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Apr 24, 2015
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The set of values that a variable may assume is called the domain of the variable.

Find the domain of 5/(x - 4).

If x = 4, the denominator becomes 0, which is not defined.

I set the denominator to be 0 and solve for x.

x - 4 = 0

x = 4

Domain = All real numbers except for 4.

In set-builder notation:

D = { x | x ≠ 4 }

Is this correct?
 
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