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

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Question 10 Let F X Ln Z 1 In X A What Is The Largest Possible Domain Of 2 Marks B Calculate F For Wh 1 (39.92 KiB) Viewed 25 times

Question 10 Let f(x) = ln(z+ 1) - In(x). (a) What is the largest possible domain of ? (2 marks) (b) Calculate f'. For what values of x is f an increasing function and for what values of w is f a decreasing function? (3 marks) (e) Let g be the function g(x) = In(x?+1) - In(x) with domain (K,00) 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! (3 marks)