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semaameya

  • 3 years ago

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

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  1. amistre64
    • 3 years ago
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    what does f(-a) equal?

  2. hba
    • 3 years ago
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    y=f(x)=1+(1/x)+(1/x^2) Check for f(-x)

  3. amistre64
    • 3 years ago
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    or if numbers are more your type does f(-2) = f(2)? or does f(-2) = -f(2)??

  4. hba
    • 3 years ago
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    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.

  5. semaameya
    • 3 years ago
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    I got it. Thanks.

  6. amistre64
    • 3 years ago
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    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

  7. amistre64
    • 3 years ago
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    but then again, the top is not even since it is shifted from the y axis

  8. hba
    • 3 years ago
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    Your'e welcome.

  9. hba
    • 3 years ago
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    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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