## semaameya Group Title Is y=1+(1/x)+(1/x^2) and odd or even function? one year ago one year ago

1. amistre64

what does f(-a) equal?

2. hba

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

3. amistre64

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

4. 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.

5. semaameya

I got it. Thanks.

6. amistre64

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

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

8. hba

Your'e welcome.

9. 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