number 4 ulat would give area as a function of is Afr) 4. A size 36 shoe in Fran

Question

number 4

ulat would give area as a function of is Afr) 4. A size 36 shoe in France is size 3.5 in England. A function that converts shoe sizes in France is size 3.5 in England. A function that converts shoe sizes in England to those in the United States is f(x) to those in England is x) x)XSA size 6shoe in the United States a. Use composition of functions to find a function that converts shoe sizes in France to those in the United States. Simplify the function. c. Determine the shoe size in the United States for a size 38 shoe in France

Explanation / Answer

g(x) = ( 3x - 94 ) / 4

f(x) = x +5/2

(gof)(x) = [ 3 ( x + 5/2 ) - 94 ] / 4

= (3x + 15/2 - 94 )/ 4

c) (gof)(38) = ( 3* 38 + 15/2 - 94 ) / 4

= 6.875

so size of shoe in united states is 6.875

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