Question on if the following function is odd or even:
4x/7x^2 - 1
*the 4x is on the numerator and the 7x^2 - 1 is in the denominator.
Using the approach of f(x) = f(-x) I can identify this function is not even.
f(-x) = -4x/7x^2-1 not equal to 4x/7x^2-1
However, to see if its an odd function I would take f(-x) and that factor out the negative from that answer. I am not too sure if every sign would change if I am to factor out the negative such as:
-f(x) = -(4x/-7x^2 + 1)?
Idk if that is how I would change all the terms but by doing so it is not equal to f(-x) so does that mean the function is neither odd or even?
4x/7x^2 - 1
*the 4x is on the numerator and the 7x^2 - 1 is in the denominator.
Using the approach of f(x) = f(-x) I can identify this function is not even.
f(-x) = -4x/7x^2-1 not equal to 4x/7x^2-1
However, to see if its an odd function I would take f(-x) and that factor out the negative from that answer. I am not too sure if every sign would change if I am to factor out the negative such as:
-f(x) = -(4x/-7x^2 + 1)?
Idk if that is how I would change all the terms but by doing so it is not equal to f(-x) so does that mean the function is neither odd or even?