To find the inverse of a function, replace the variable "x" with "y". Also replace "f(x)" with just "x". Solve this equation for y.
f(x) =2/3x+10
x=2/3y+10
Subtract 10 from both sides:
x-10=2/3y
Multiply both sides by "3/2":
(3/2)(x-10)=y
The inverse function is: f^-1(x)=3/2x- 15