Question: ) Let f(x) = cos(2x) + 2x + 3ex (i) Show that the inverse function exists. Find the linear approximation of f1 at 4.

) Let f(x) = cos(2x) + 2x + 3ex (i) Show that the inverse function exists. Find the linear approximation of f1 at 4. [6 marks] [6 marks] (iii) Use the linear approximation in the previous part to approximate the value f-1 (3.9). (Hint: You may let g(u) = (u) and do the linear approximation of g(u) at u = 4) [4 marks]

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