Question 54919
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(x)=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+4.7=1.3y-4.7+4.7}}}
{{{x+4.7=1.3y}}}
{{{(x+4.7)/1.3=1.3y/1.3}}}
{{{(x+4.7)/1.3=y}}} 4. Replace y with K^-1(x)
{{{highlight(K^(-1)(x)=(x+4.7)/1.3)}}}
Happy Calculating!!!