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Is y=1+(1/x)+(1/x^2) and odd or even function?

Mathematics
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what does f(-a) equal?
  • hba
y=f(x)=1+(1/x)+(1/x^2) Check for f(-x)
or if numbers are more your type does f(-2) = f(2)? or does f(-2) = -f(2)??

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Other answers:

  • hba
If @amistre64 1st condition gets proved its Even,If the 2nd condition gets proved its Odd,If your question does not satisfy the above conditions,Then its neither even nor odd.
I got it. Thanks.
or by analysis \[1+(1/x)+(1/x^2)=\frac{x^2+x+1}{x^2}\] these work like +- rules; even/even=even i believe
but then again, the top is not even since it is shifted from the y axis
  • hba
Your'e welcome.
  • hba
In some case if the power turns out to be even then the function is even,if the power is odd then the answer is odd. The trigonometric values also : sin (–x) = –sin x cos (–x) = cos x tan (–x) = –tan x csc (–x) = –csc x sec (–x) = sec x cot (–x) = –cot x

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