This thing right over here is not defined at x equals negative one. And g of x was not, was not, so g of x right over here, you don't get a good result when you try x equals negative one. And so in order for this to truly be the same thing as g of x, the same function, we have to say for x not equal to negative one. Now this is a simplified version of g of x. It is the same thing. For any input x that g of x is defined, this is going to give you the same output. And this has the exact same domain now, now that we've put this constraint in, as g of x.