It is known that the function f (x) is a monotone increasing function defined on (0, ∞), and f (XY) = f (x) + F (y) for any X and Y in the domain of definition f(3)=1. (1) Finding the value of F (1) (2) Solving inequality f (3x) + F (2x-1) ≤ 2

It is known that the function f (x) is a monotone increasing function defined on (0, ∞), and f (XY) = f (x) + F (y) for any X and Y in the domain of definition f(3)=1. (1) Finding the value of F (1) (2) Solving inequality f (3x) + F (2x-1) ≤ 2

(1) Let x = y = 1, then f (1) = (1) (1), so f (1) = 0
(2) F (3 ×) = (3) f (x). F (3 ×) f (2 × 1) = 1, f (x) (2 × 1) = 1 (2 times ^ 2-x)
So f (2 × ^ 2-x) has the following properties