Group Problem 7 (a) Draw the graph of a one-to-one function that contains the points (-2,-2), (0, 4), and (1, 7). Now draw the graph of its inverse. Compare your graph to those of other members of your group. Discuss any similarities. 1 (b) Given two functions f x 3x 4 and g x x 4 , find f g x and g f x . 3 (c) Are the functions f x 3x 4 and g x 1 x 4 inverses of each other? Justify your 3 answer. (d) Draw the graphs of functions f x 3x 4 , g x 1 x 4 , and y x on the same set 3 of coordinate axes. How would you describe the relationship between these graphs