any help is appreciated. thank you.

Suppose that f(x) and g(x) are differentiable functions, and g(1) = 3, g'(1) = 2, f(3) = 5, and f'(3) = -1/4. Let h(x) = f (g(x)) . (a) Using the microscope equation for g(r), find the approximate value of g(1.06). Let a denote your approximation. (b) Using the microscope equation for f, find the approximate value of f(a), where a is your estimate from part (a). (c) Find A'(1). [Hint: Think Chain Rule!]