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

1. amistre64 Group Title

what does f(-a) equal?

2. hba Group Title

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

3. amistre64 Group Title

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

4. hba Group Title

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 Group Title

I got it. Thanks.

6. amistre64 Group Title

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 Group Title

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

8. hba Group Title

Your'e welcome.

9. hba Group Title

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