The domain of the function y = f(x) is {x | 3 s x s 4,x e R} What is the domain of the function y = f(x + 2) 1? (2 marks) Given the graph of y = f(x), sketch the graph of y 4 = %f[%x + %] Be sure to show how these same transformations would change the point (x, y). (3 marks for the graph, 2 marks for the point mapping) 3. Write the equation of the inverse function y : 5x + 2 . Verify graphically that the functions are inverses of each other. (2 marks for inverse equation; 2 marks for verication explanation) 4. Consider the graph of the function y : f(x). Sketch the graph of x : f(y). Explain how the coordinates of key points are transformed. State any invariant points. (2 marks for graph; 2 marks for points explanation; 1 mark for Invariant points) A transformation of the graph of y = {(x) results in a horizontal stretch about the y-axis by a factor of 2, a horizontal reection in the y-axis, a vertical stretch about the x-axis by a factor of 3, and a horizontal translation of 2 units to the right. Write the equation for the transformed function. (2 marks)