Let `f : R rarr R` be defined as `f(x) = 2x – 1` and `g : R – {1} rarr R` be defined as `g(x)=(x-1/2)/(x-1).` Then the composition function `f(g(x))` is :

Options

A. onto but not one-one
B. both one-one and onto
C. one -one but not onto
D. neither one-one nor onto