(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I am supposed to find out if this function is symmetric with reference to the y-axis or reference to the origin.

The function is

F(x)=4x^2/(x^3+x)

2. Relevant equations

These are how to know if even or odd

A(-x)^even power = ax^even power

A(-x)^odd power = -ax^odd power

3. The attempt at a solution

I think that to solve these u change x to -x in the function right? So I got...

F(-x)=4-x^2/(-x^3-x)

To

F(-x)=4+x/(-x-x)

To

F(-x)=4+x/-2x

To

F(-x)=2+x/-x

To

-2

But now what, how do I tell if it's odd even or neither?? Did I even do the math right?

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# Homework Help: Symmetric functions/odd even or neither

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