Question

(x^2-5)/(3x^3-7x) Is this symmetric about the origin?

Answer 1

\[\large y = \dfrac{x^2-5}{3x^3-7x}\]
like this ?

Answer 2

Yes

Answer 3

one way to check is by replacing x and y with -x and -y and see if you get the same equation

Answer 4

** it is symmetric about the origin if both the points (x, y) and (-x, -y) exist on the graph of the function

Answer 5

In different words y=f(x) is symmetric about the origin if f(-x)=-f(x)

Answer 6

Thank you for help