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Question 517162: find the domain of the following function:
(1/x)+(2x/x^2-36)
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! find the domain of the following function:
(1/x)+(2x/x^2-36)
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= (1/x) + (2x)/[(x-6)(x+6)]
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Rule: Denominators cannot be zero.
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Your Problem:
x cannot be 0, or 6 or -6
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Domain: All Real Numbers except x = 0, or 6, or -6.
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Cheers,
Stan H.
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Answer by solver91311(24713)  (Show Source):
You can put this solution on YOUR website!
When you want to find the domain of a function, start with the set of real numbers. Then find any possible values of the independent variable (that is the  in most cases, and indeed in this case) that make the function undefined. If the function contains rational expressions (that is, fractions), any value of the independent variable that would make any denominator in the function be equal to zero must be excluded from the domain.
So set each of your denominators equal to zero and solve for the values that must be excluded. The your domain is the set of real numbers excluding those values.
John
My calculator said it, I believe it, that settles it
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