# Algebra

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A size 36 shoe in France is size 3.5 in England. A function that converts shoe sizes in France to those in England is g(x)= 3x-94/4. A size 6 shoe in the United States is size 3.5 in England.

A function that converts shoe sizes in England to those in the United States is f(x)=x+5/2.

a. Use composition of functions to find a function that converts shoe sizes in France to those in the United States. Simplify the function.

b. Determine the shoe size in the United States for a size 38 shoe in France.