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?