Question

Let f be a real valued function satisfying f(x/y) = f(x) - f(y) and lim_(x →0) (f(1 + x))/x = 3

Find the area bounded by the curve y = f(x), the y-axis and the line y = 3.

Answer 1

Given f(x/y) = f(x) - f(y)

Putting x = y = 1, we get f(1) = 0