Let f (x) be a positive real number and f (1 / 2) = 12. For any real number x and y, f (XY) = f (x) + F (y) 3. F (x) is a decreasing function 1) Find the values of F (1 / 4), f (1 / 8), f (1), f (2), f (4) 2) Solution to inequality; f (- x) + F (3-x) ≥ - 2

Let f (x) be a positive real number and f (1 / 2) = 12. For any real number x and y, f (XY) = f (x) + F (y) 3. F (x) is a decreasing function 1) Find the values of F (1 / 4), f (1 / 8), f (1), f (2), f (4) 2) Solution to inequality; f (- x) + F (3-x) ≥ - 2

(1)f(1/4)=f(1/2*1/2)=f(1/2)+f(1/2)=12+12=24
f(1/8)=f(1/2*1/4)=f(1/2)+f(1/4)=36
f(1)=f(1*1)=f(1)+f(1)=2f(1)
So f (1) = 0