Please help me answer the following questions!

Q2: Q1: Preview Preview Consider the function Given two differentiable functions f and g, let h be defined as h(x) = f(8(x)). The tangent line to the graph of g at the point with f(x) = 10, ( x + x2 cos (-), ifx # 0; x = 4 is given by y = 4x - 2, while the tangent line to the graph of h at if x = 0. the point with x = 4 is given by y = -2x + 18. (a) Show that f(x) is everywhere continuous. Hint: You may need to use the Squeeze Theorem. (a) Find g(4) and f(8(4)). (b) Calculate f'(x). Hint : You need to be careful in evaluating f'(0). See (b) Determine the equation of the tangent line to the graph of f at the also the hint for part (a). point (8(4), f(8(4)). (c) Is f'(x) continuous on its domain? Be sure to justify your answer. Q3: Preview BONUS: Find the two points on the parabola y = 1 - x- where the tangent lines to the parabola form an equilateral triangle together with the x-axis