Question 310830
I am trying to find the domain. I have read my materials and I don't understand how to find it. Here is one of the problems I am trying to do: 
f(x)=___8___
......5x-14
Could someone please explain how this is done in steps so I can understand how each step works? 
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In basic algebra there are only 3 conditions that restrict the domaim
of most functions:
1: A variable in the denominator which might cause the denominator to
be undefined.
2: Even roots of an expression which might result in a non Real Number solution.
3: logarithm of an expression which might not be positive in value.
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Note: If none of those three conditions occur in your problem the
domain is "All Real Numbers".
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That said you see your problem has a variable in the denominator.
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That denominator must not be zero as that would make the fraction undefined.
So you solve 5x-14 = 0
x = 14/5
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That value is excluded from the domain.
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Final Answer: the domain for your problem is all Real Numbers
except x = 14/5
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Cheers,
Stan H.