 In this video, we provide the solution to question number two for practice exam number three for math 1050 We're given a rational function f of x equals 3x minus 1 times 2x plus 7 over x plus 2 times 5x plus 4 and we're asked to find the horizontal asymptotes of this rational function So the first thing to determine is our function balanced as a top heavy is it bottom heavy basically what's going to happen as we as x approaches infinity or as x approaches negative infinity this function we Approximately the same thing as it's leading terms on top and bottom So if you look at just the leading terms in the factored form we look at the biggest terms possible So you have a 3x times a 2x that'll give you a 6x squared on top In the denominator your leading terms are x and 5x so you end up with this 5x squared We can see that the top is a square the bottom is a square Therefore, this is a balanced rational function the x square is actually cancel out and we end up with six fifths When you have a balanced rational function the horizontal asymptote will be the ratio of the leading coefficients And therefore we see the correct answer is C