ze 36 sr in France is size 3.5 in England. A function that converts shoe sizesnow lis WONS in France to those in England is g(x) = 3x-94 A size 6 shoe in the United States %3D 4 is size 3.5 in England. A function that converts shoe sizes in England to those in the e 1o 5 United States is f(x) = x+ 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. bni d b. Determine the shoe size in the United States for a size 38 shoe in France. Write the answer in a complete sentence using proper grammar and correct spelling.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...
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2. 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) =
how lis woNS
3x-94
A size 6 shoe in the United States
4.
is size 3.5 in England. A function that converts shoe sizes in England to those in thexE
X) 10
United States is f(x) = x +
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. Write the answer in
a complete sentence using proper grammar and correct spelling.
Transcribed Image Text:2. 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) = how lis woNS 3x-94 A size 6 shoe in the United States 4. is size 3.5 in England. A function that converts shoe sizes in England to those in thexE X) 10 United States is f(x) = x + 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. Write the answer in a complete sentence using proper grammar and correct spelling.
Expert Solution
Step 1

topic - functions

We will use composition of functions to find a function that converts shoe sizes in France to those in the United States. 

The function f(x) converts shoe sizes in England to those in the United States. The function g(x) converts shoe sizes in France to those in England. That's why we consider the composition (fg)(x). Because it directly gives us the function which will convert the shoe size in France to those in the United States.

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