Question

Consider the function \[f \left( x \right) =\frac{ 1 }{ 3 }x + 2\]
Find the inverse of f(x) and name it g(x). Show and explain your work.
let f(x) = y to yield: y = (1/3)x + 2
interchanging x and y yields: x = (1/3)y + 2.

solving for y yields y = f^-1(x) = 3x – 6?