SOLUTION: Please help me solve for the inverse of this equation F(x) ={{{ (3/4) x-5/6}}}

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please help me solve for the inverse of this equation F(x) ={{{ (3/4) x-5/6}}}      Log On


   

Question 808542: Please help me solve for the inverse of this equation
F(x) =+%283%2F4%29+x-5%2F6
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Simple method, if y=F(x), try making x=%283%2F4%29y-5%2F6 and solve for y. If this method, y will no longer be F(x), but some other name of function.

x%2B5%2F6=%283%2F4%29y
%284%2F3%29%28x%2B5%2F6%29=y
y=%284%2F3%29x%2B%284%2F3%29%285%2F6%29
y=%284%2F3%29x%2B%282%2F3%29%285%2F3%29
y=%284%2F3%29x%2B10%2F9

Meaning, highlight%28F%5E-1%28x%29=%284%2F3%29x%2B10%2F9%29