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1. morningfoxnorth Says:
   March 9th, 2008 at 8:00 am

   The domain of a function is all the numbers for which the function makes sense. The only place where your functions would have problems would be when g = 0. But then you can take the limits as x approaches 20 from the left and from the right, and see if these are the same. for the first function, they're not, so x = 20 is not in the domain of f/g.

   For the second function, g/g = 1. When x = 20, just take the dirivative: g' / g' = 1. So the domain of this function is all numbers.

   I assume you know about complex numbers; these domains include the complex numbers.

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