All work must be shown in the provided. Only minimal credit will be awarded for answers without supporting work. Do not use a calculator: let xf. Find all the values of x , if any exist, such that. 1 xf: sketch a graph of the function xg x. Find and simplify each of the following. (a) fg f g. 1 f is the inverse function of f : find the domain of the function xf x x. State your answer in interval notation: a rock is thrown straight up in the air. The height in feet of the rock t seconds after being thrown is given by the function th. 32 t t (a) what is the maximum height reached by the rock? (b) how many seconds after being thrown does the rock reach this height: find the average rate of change of the function xg x.