Question

How do you find the inverse of `f(x) = 3 ln (x-2)` and is it a function?

Answer 1

`x > 3`.
Let y = f(x) Then, the inverse function is `x = 2 + e^(y/3)`

Explanation:

Let `y = f(x) = 3 ln(x-2)`. Here, x > 2..

`ln (x-2)=y/3`.

Inversely, `x-2=e^(y/3)`.

So, `x = 2 + e^(y/3)`