Ratan and Inverses of functions

Ratan worked on the Tower Puzzle and got the rule 2^x - 1 =  y. He then graphed this function (in black). Don suggested he find the inverse of ths function by switching the x and y coordinates to get the orange curve. Then Don suggested he graph y = x which is the blue graph. They talked about the inverse and how it was the mirror image of the original curve and that he could write the equation 2^y - 1 =  x, but we want to come up with y =...

Tune in to see how Don helps Ratan get the equation..

The graph of the Shuttle puzzle or Peg game and its inverse is shown below:

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We'll get the equation for the inverse of this graph as  y =..