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- How do you find the domain for the composition of two functions, fg ?(3) c) Make two separate plots of the function f(x)=0.01x* –0.45x +0.5x – 2 one plot for -4sxs4, and one for -8b) Find out whether the following functions are odd, even or neither: i. 2x-5x'+7 ii. x+x*list the three transformations being applied to f(x)= 4 sin(4(x-5))+5 parent function: f(x)=sinxg(-12) g'(-12)=Plot the graphs of f(x) = x(x - 3) (x + 3) and g(x) = cos 2 x together on the same set of axes and over the interval [-20, 20]. Use the PlotRange option to adjust the range of the viewing window so that their points of intersection are visible.Q1/: a: Using the relation I showthat J2 (x)=, 2. cos xUse the mapping rule to transform the parent function y=x5 to f(x)= 5/96(x+2)(x-1/2)(x+1)3. The mapping rule involves transforming the y=x5 table of values into a new table of values for f(x). The mapping rule is x/k+d to transform x values, and ay+c to transform y values in the general form y=af(k(x-d))+c. Please include both tables of values for the transformation.Let n be a positive integer. Define the function fn (2) by dzn (2² Find the value of f(-1 + i). fn(z) = + 2x + 2)".a) State the values at which f is Not differentiable (if there are any) and explain why not. b) Sketch the graph of the derivative f of inverse (x) on the same axes3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d %3D dx |x| b) Sketch the graphs of the function f(x) = |x| and its derivative. %3D c) Use the result of part (a) to differentiate the function g(x) = x|x|. Write the derivative as a simplified monomial. %3DDifferentiate the following functions using product rule. 1. f (x) = (3x – 9) (x – 6) 2. f (æ) = (³ – 2x² + † – 6) (2æ² – 2æ + 4) 3 3 -