Suppose that the function f has a continuous second derivative for all 513, and that f(0) = 2,f'(0) = 3, and f\"(0) = 0. Let g be a function whose derivative is given by g'(a:) = 823' (3 f (at) + 2 f' (513)) for all :13. (a) Write an equation of the line tangent to the graph of f at the point where x = 0. (b.) Given that 9(0) 2 4, write an equation of the line tangent to the graph of g at the point where a: = 0. Show all work leading to your answer. (0.) Find g\"(a:). Show all work leading to your answer The graph of f'. the derivative of function f is shown below on the