# Thread: (3x + |x|) / x

1. ## (3x + |x|) / x

How do i find the domain of:

(3x + |x|) / x

Also, what kind of function is this? To the best of my abilities, I identify this as some kind of mix of a rational and absolute value functions, however, I have no idea what to do with this.

Any help would be greatly appreciated!

2. Originally Posted by s3a
How do i find the domain of:

(3x + |x|) / x

Also, what kind of function is this? To the best of my abilities, I identify this as some kind of mix of a rational and absolute value functions, however, I have no idea what to do with this.

Any help would be greatly appreciated!
you're right about a "mixed" function ... $y = 3 + \frac{|x|}{x}$