SOLUTION: 50. The function K(X) = 1.3X - 4.7 converts a man's shoe size in the United States to the equivalent shoe size in the United Kingdom. Determine the function K^-1(X) that can be use

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 50. The function K(X) = 1.3X - 4.7 converts a man's shoe size in the United States to the equivalent shoe size in the United Kingdom. Determine the function K^-1(X) that can be use      Log On


   

Question 54919This question is from textbook Applied College Algebra
: 50. The function K(X) = 1.3X - 4.7 converts a man's shoe size in the United States to the equivalent shoe size in the United Kingdom. Determine the function K^-1(X) that can be used to convert a United Kingdom man's shoe size to its equivalent U.S. shoe size. This question is from textbook Applied College Algebra

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
50. The function K(X) = 1.3X - 4.7 converts a man's shoe size in the United States to the equivalent shoe size in the United Kingdom. Determine the function K^-1(X) that can be used to convert a United Kingdom man's shoe size to its equivalent U.S. shoe size.
To find the inverse function:
K%28x%29=1.3x-4.7 1. Replace K(x) with y.
y=1.3x-4.7 2. Switch the x and y.
x=1.3y-4.7 3. Solve for y.
x%2B4.7=1.3y-4.7%2B4.7
x%2B4.7=1.3y
%28x%2B4.7%29%2F1.3=1.3y%2F1.3
%28x%2B4.7%29%2F1.3=y 4. Replace y with K^-1(x)
highlight%28K%5E%28-1%29%28x%29=%28x%2B4.7%29%2F1.3%29
Happy Calculating!!!