Question 10 Let f(x) = ln(2² +1) – In(x). (a) What is the largest possible domain of f? (2 marks) (b) Calculate f'. For

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Question 10 Let F X Ln 2 1 In X A What Is The Largest Possible Domain Of F 2 Marks B Calculate F For 1 (77.2 KiB) Viewed 52 times

Question 10 Let f(x) = ln(2² +1) – In(x). (a) What is the largest possible domain of f? (2 marks) (b) Calculate f'. For what values of x is f an increasing function and for what values of x is f a decreasing function? (3 marks) = (c) Let g be the function g(x) = ln(x² +1) – In(x) with domain [K, ) where K is a constant. What is the smallest value of K so that g is a monotonic function? (2 marks) (d) For this value of K determine the inverse function g-1. (3 marks