4. The twice-differentiable function f is defined for all real numbers and satisfies the following conditions: f(0) = -2 , f'(0) = 3, f"(0) = -1 . A. The function g is given by g(x) = tan(ax) + f(x) for all real numbers, where a is a constant. Find g'(0) and g"(0) in terms of a. (20 points) B. The function h is given by h(x) = sin(kx) . f(x) for all real numbers, where k is a constant. Find h'(x) and write an equation for the line tangent to the graph of h at x=0. (10 points)