show the graph of y=2(x-1)³ can be obtained by two successive transformations from graph y=x³ by using the function f:x-->x - 1,

g:x--> 2x.

make a rough sketch of y =2 (x-1)³ .

find the inverse function to y = 2(x-1)³.

what is the graphical relationship between the graph of any function and its inverse?