Question: Question 5 Two functions are defined as shown below. f (x) = x - 3 g (x) = x a) Give the domain and range

Question 5 Two functions are defined as shown below. f (x) = x - 3 g (x) = x a) Give the domain and range of f and g. b) Write an expression for the function (g + f)(x) and give its domain. c ) Find an expression for the function (g . f)(x) and give its domain and range. (4+ 2 + 4 marks) Question 6 For the function f(x) = -3 /x + 1 + 4 find the following. a) The domain and range of f(x). b ) An expression for f (x). c) The domain and range of f-'(x). d) Solve the equation f (x) = 15. e) Show that (fo f-1 ) (x) = x. (2+5+2 +4 +4 marks)

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