It is known that f (x) is an increasing function defined on R +, and f (x / y) = f (x) - f (y) holds for any x, y ∈ R + (1) Find the value of F (1) (2) If f (4) = 1, solve the inequality f (x + 6) - f (1 / x) < 2

It is known that f (x) is an increasing function defined on R +, and f (x / y) = f (x) - f (y) holds for any x, y ∈ R + (1) Find the value of F (1) (2) If f (4) = 1, solve the inequality f (x + 6) - f (1 / x) < 2

(1) From F (x / y) = f (x) - f (y)
When x = y = 1, f (1) = 0
(2) From F (x / y) = f (x) - f (y), f (x / y) + F (y) = f (x)
When x = 16, y = 4, f (16) = 2F (4) = 2
f(x+6)-f(1/x)<2
f(x^2+6x)