Okay, so we're giving the function here. F of X is equal to three x squared plus B squared, all divided by X squared, plus a square plus a plus A. It's morning up, plus a squared. Right. Um, so were asked to find in the vertical, um, And while to find all the essentials. So a vertical assam told a vertical Assam talk is well, where the denominator is equal to zero in the numerator is not equals zero. There. Okay, well, what values of eso again? The variable here is X Right and be can be regarded as constants. But what is over? A set X squared plus a squared equal to zero then. Well, what values of X make that zero. Well, nothing. Right, Because X squared is never zero. I don't care what X is right. Excess squared is never zero. And likewise a squared is never zero right. We know a is some constant. I don't know what it is, but it doesn't matter if a is positive or negative. I'm squaring it and I'm spring some number squared, which is passing positive, plus some other number squared. That has to be positive. Um, can never be equal to zero. Well, I'm saying that, but I'm thinking Wait a minute. If X was zero, right? If you play if what is while you plug in zero for X? Um, you know, a squared. I think a should be regarded as a non zero constant. Because if a zero that is not even involved in our so I mean, if X was zero, let's say then. And if a was zero, well, then the nominator is equal to zero. Right? Um is the numerator equal to zero? Well, if b wasn't zero, so I think the answer they want here is no vertical asking. I'm gonna put none with maybe a little asterisk here, because again, I'm not given the answers. I'm not sure what answer the book wants here. Um, but if x I mean, if X was zero if X equals zero if this if X equals zero, um was a brick lasting told Well, that means that a would also have to equal zero. So a what also f t equals zero and be will be could not be zero because it be was there all then we'd have So, uh, I don't think this financial they want. I think they want the answer. None. Okay, um but just if this was true, then we would, I believe yes. Have a vehicle hasn't told. But what do you think seeing is that? This can never be zero. Right? Um, unless a 10 what a was zero, then be canopy zero, because then you would have some non zero constant over divided by zero. And then yes, he would have a critical as I'm told, um, at actually zero. But I don't believe that the answer they want, but, um, it's a little like that. Okay, so we're gonna go with none, because the denominator can never be zero, because we're gonna assume that is not gonna be zero on. Why would they even have a So Okay, I am ran. But enough about that. But we're gonna go with no ver glass and votes for this function. How about the horizontal? Assen told Well, what we notice. We noticed that the degree of the numerator is the same as the degree of the denominator. So therefore, our horizontal ask pope is just the ratio of the leading coefficients with three of the one. So it's a horse. I don't lying. So it's why equals and why equals three. Why? Cause three is our horizontal? Asked that I take care.