Answer:
f(x)=-x
Step-by-step explanation:
An odd function is symmetric with respect to origin.
It has the property,
[tex]f( - a) = - f(a)[/tex]
The only function that is symmetric about the origin is:
[tex]f(x) = - x[/tex]
Now let's put x=-a, to get:
[tex]f( - a) = - - a = a[/tex]
Also
[tex]f(a) = - a[/tex]
We can see that:
[tex]f( - a) = - f(a) = a[/tex]