Question

Question 2 The function r) is defined by 3(x + 1) 1 f12r + 71-4 1+4 () (111) 13 marks Show that f(x)= [4 marks) Find (3) Find the domain off- [2 marks] Given that g(x) = In(x + 1) Find the solution of r if fg(x) = 5, by leaving your answer in terms of e exponential function) [4 marks) (b) Sketch the graph of the function, In)-1-cosx). not by plotting points, but starting with the graph of a standard function and applying transformations [8 marks (6) Find the domain and range of the following y=fal-2. [2 marks] (y - In}r-3-1 [2 marks] [Total: 25 marks

Answer 1

(9) finis 3621 2 n²+72-4 (i fime ! to prome) .36f 1) .222704 nfs 3 catu 2 n2+82-2-4 di 14 360fi) 2nc1979)-1(2179) ata 0179) 3 Cmfl) (29-12 (144) nta)

frm= + (**) which is inverse of fans (iii) domain af f domain af oft is all number @e encopt ņ= at nzo fini is undefined domain (-as OUCO) sjul glala In Cat!) f. (gen) = 1/2 frais at feginila 27-1 2(InCa411)-1 7 > = 7 2 In Caf1-1 In criti) = ? Mtlis e. گا Ma

frm= + (**) which is inverse of fans (iii) domain af f domain af oft is all number @e encopt ņ= at nzo fini is undefined domain (-as OUCO) sjul glala In Cat!) f. (gen) = 1/2 frais at feginila 27-1 2(InCa411)-1 7 > = 7 2 In Caf1-1 In criti) = ? Mtlis e. گا Ma