SOLUTION: Is the trigonometric function Y= x/x^3-4x, even, odd or neither?

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Question 307175: Is the trigonometric function Y= x/x^3-4x, even, odd or neither?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


In the first place, what makes you say that



is a trigonometric function? It isn't but I'm very curious as to why you say it is.

A function is even if for all in the domain of .

Let's see:



Therefore the function is even. Since this is not a constant function that is identically zero, it cannot be simultaneously even and odd, therefore it is not odd.

John