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January 2022 MHF407b SUMMATIVE PAPER 2 Page 7 of 8 6. [Maximum mark: 16] Consider the expression f (x) = tan (x + ) cot

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January 2022 MHF407b SUMMATIVE PAPER 2 Page 7 of 8 6. [Maximum mark: 16] Consider the expression f (x) = tan (x + ") cot (# - x). (a) i. Sketch the graph of y = f(x) for -" S x s" [2] ii. With reference to your graph, explain why f is a function on the given domain. [1] iii. Explain why f has no inverse on the given domain. [1] iv. Is f a function for - #

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