The domain of the function $$f(x) = {1 \over {\sqrt {|x| - x} }}$$ is

If f : R $$\to$$ R, g : R $$\to$$ R are two functions given by f(x) = 2x $$-$$ 3 and g(x) = x³ + 5, then (fog)^$$-$$1 (x) is equal to

f(xy) = f(x) + f(y) is true for all

Consider the following statements :

Statement I The function f : R $$\to$$ R such that f(x) = x³ for all x$$\in$$R is one-one.

Statement II f(a) = f(b) $$\Rightarrow$$ a = b for all a, b $$\in$$R, if the function f is one-one.

Which one of the following is correct in respect of the above statements ?