Let Y : [0, )R, Y : [0, ) R, f: [0, ) R and g : [0, ) R be functions such that f(0) = g(0) = 0, x and g(x) = te-dt, x > 0. 0 w(x)=e* + x, x 0, V(x)=x-2x - 2e*+2, x 0, f(x) = (lt-t) e-dt, x>0 Which of the following statements is TRUE? 1 (A) f(In 3)+g(In 3): 3 (B) For every x > 1, there exists and a = (1, x) such that w(x) = 1 + ax (C) For every x > 0, there exists a B = (0, x) such that w(x) = 2x(w(B) - 1) (D) f is an increasing function on the interval 0, 3 2