It is known that the function f (x) is an odd function on R. when x is less than or equal to 0, f (x) = x (x + 1), then when x is less than 0, the analytic expression of function f (x) is?

It is known that the function f (x) is an odd function on R. when x is less than or equal to 0, f (x) = x (x + 1), then when x is less than 0, the analytic expression of function f (x) is?

The function f (x) is an odd function on R. when x is less than or equal to 0, f (x) = x (x + 1),
When x equals 0, f (x) = 0
When x is greater than 0
-x

2F (1 / 2 of x) + F (x) = x (x is not equal to 0) find f (x)

2f(1/x)+f(x)=x (1)
2f(x)+f(1/x)=1/x (2)
(2) * 2 - (1) get
3f(x)=2/x -x
f(x)=2/3x- x/3

If 2F (x) + F (one part of x) is known to be equal to 3x but not equal to 0, then the analytic expression of F (x) is

2F (x) + F (1 / x) = 3x (1) so
2f(1/x)+f(x)=3/x(2)
(1)x2-(2)
4f(x)-f(x)=6x-3/x
f(x)=2x-1/x