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Q8. Show that cos cos 75 = % (V2 d3). Q9. What is the domain and range of (a) fog. (b) 90f, given f(x) =

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Q8. Show that cos cos 75 = % (V2 d3). Q9. What is the domain and range of (a) fog. (b) 90f, given f(x) = % g(x) = xix 2. Q10. Given the function f(x) = 251,3 + ml; 1, nd formulas to (a) compress the graph horizontally by a factor of 2 followed by a reection across the y-axis. (b) Stress the graph vertically by a factor of 1.5 followed by a reection across the x-axis. Write a Matheniatica code to display the functions in (a) and (b). Attach your Mathematica code along with your submitted solution in a zip le. Your Mathematica code should produce the graph as displayed in Fig. 1(a) and 1(b), where the blue, red and brown curves refer to the function Jx), 91(x), 920:) respectively. 920:) is the nal function while 320:) is the intermediate function

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