A function that will convert women's shoe sizes in the United States to those in Australia is
S(x) = (2x - 3) / 2
(Source: OnlineConversion.com).
a) Determine the women's shoe sizes in Australia that correspond to sizes 5, 7 1/2, and 8 in the
United States.
b) Find a formula for the inverse of the function.
c) Use the inverse function to determine the women's shoe sizes in the United States that correspond to sizes 3, 5 ½, and 7 in Australia.