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

Question

amistre64 · Answer

what does f(-a) equal?

hba · Answer

y=f(x)=1+(1/x)+(1/x^2)


Check for f(-x)

amistre64 · Answer

or if numbers are more your type  does f(-2) = f(2)?  or does f(-2) = -f(2)??

hba · Answer

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.

anonymous · Answer

I got it. Thanks.

amistre64 · Answer

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

amistre64 · Answer

but then again, the top is not even since it is shifted from the y axis

hba · Answer

Your'e welcome.

hba · Answer

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