Let f & g be two functions defined as follows ;
f(x) = (x + |x|)/2 for all x & g(x) = [x for x < 0, x2 for x ≥ 0, then
(A) (gof)(x) & (fog)(x) are both continuous for all x ∈ R.
(B) (gof)(x) & (fog)(x) are unequal functions.
(C) (gof)(x) is differentiable at x = 0.
(D) (fog)(x) is not differentiable at x = 0
