Find the Set of All Points at Which The Function is Continuous F(x, y) = sin(xy)/(e^x - y^2)

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Find the Set of All Points at Which The Function is Continuous F(x, y) = sin(xy)/(e^x - y^2)

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Hmm.. seems easier to say it’s the set of all points where x is not equal to 2*ln(absolute value (y)). It looks better in latex or on paper!

TIOS
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Isn't it the same as to find the domain of the function?

GNew
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What if the numerator is 0 as well? Isn't it possible that the value of F(x, y) will be finite then, so F might even be continuous at that point?

blankino-
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Was it necessary to put +/-(sqrt e^x). Isn't It that -(sqrt e^x) will be defined?

mwenge
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And that video about the book Whats Is Mathematics, by Courant? Haha

cassio