1. The problem statement, all variables and given/known data Suppose g is a function defined for all x > 0 which satisfies the following properties for all a, b > 0: g(1) = 0 g(a/b) = g(a) - g(b) Determine whether the function f(x) = g(x+ root(x^2+1)) is even, odd or neither, and justify your answer. 2. Relevant equations Odd function: f(-x) = -f(x) Even function: f(-x) = f(x) 3. The attempt at a solution Well I was thinking that g could be a logarithmic function, and x+ root(x^2+1) is neither even nor odd, so f(x) is a neither function... I think I'm approaching this the wrong way... Can anyone help me out please?