SOLUTION: hi what would the domain of 5x/x^3+36x be i've tried to find what number would give me 36 but i don't know if that's the right method

Question 559661: hi what would the domain of 5x/x^3+36x be i've tried to find what number would give me 36 but i don't know if that's the right method
Answer by KMST(5347) (Show Source): You can put this solution on YOUR website!
The domain of f(x) = 5x/(x^3+36x) =
includes all real numbers except those that make
Factoring, we get:
==>
In the real numbers there are no solutions for
, so the only solution would be .
For , the function does not exist; it's undefined.
For any other value of , we can simplify to
f(x) = = =
The graph of the function is the same as the graph of
f(x) = , except that it does not exist for .
There is a hole where (0,5/36) would be.
The number is the only real number excluded from the domain of the function.
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