1. (6 marks) For f(x) = vx2 -1 and g(x) = va - 3, determine the subset of the domain of g on which the composition fog is well-defined. What is the domain of go f? Find formulas for (fog) (x) and (go f)(x). 2. (4 marks) Sketch a graph of f(x) = -2(x+1)3-6 by using a sequence of transformations of a well-known function. For full points, make sure to describe the various transformations applied to the well-known starting function