Hi guys, I have come across this question that I'm not sure how to answer. It goes as follows

The function f is given by

f(x) = ln(3x-6) x>2

a)write down f^(-1)(x) - ie the reverse function

To do this, our teacher says to make f(x)=y, swap the x and ys, then solve for y

This gives me

y = ln(3x-6)

x = ln(3y-6)

e^x = 3y-6

isnt it then simply f^(-1)(x) = (e^x+6)/3

What do I do now??

The next question is b) write down the domain and range of f^(-1)(x), which I know seems really simple but im not too sure how to do it

Isn't the range for a function the domain for the inverse and vice versa?

Cheers