# Thread: Find the domain and range of f(x) and inverse function.

1. ## Find the domain and range of f(x) and inverse function.

So I've been trying to solve these problems for the past 2 hours and I don't know if I'm doing them right so I need some help from the experts here to tell me if I'm doing them right. Could you guys please help me out?

2. ## Re: Find the domain and range of f(x) and inverse function.

Originally Posted by calculus123
So I've been trying to solve these problems for the past 2 hours and I don't know if I'm doing them right so I need some help from the experts here to tell me if I'm doing them right. Could you guys please help me out?

I agree with 4.a) as it definitely looks like the function's domain and range are defined for all the reals, so therefore must be its inverse. I also agree with 4.b), inverse functions are reflected about the line y = x. As for part c), you should know that multiplying the function by 3 will result is a dilation of the function (a vertical stretch of factor 3) and subtracting 1 will then move the function down one unit.