So the limit as x approaches a of g of x needs to exist. So that needs to exist. And then on top of that, the function f needs to be continuous at this point, and f continuous at L. So let's look at some examples and see if we can apply this idea, or see if we can't apply it. So here I have two functions that are graphically represented right over here. Let me make sure I have enough space for them. And what we see on the left-hand side is our function f, and what we see on the right-hand side is our function g. So first, let's figure out what is the limit as x approaches negative three of f of g of x. Pause this video and see, first of all, does this theorem apply?