 In this video, we provide the solution to question number 11 for the practice final exam from math 1050 We're given a rational function right here f of x equals x squared plus 4x plus 4 Over x squared plus 4 and we're supposed to find the vertical acetotes of this graph the vertical acetotes will be those Numbers which make the denominator go to zero when it is in lowest form, right? So you do have the fact of the numerator and denominator and see what's going on there in the numerator x squared plus 4x plus 4 this is a perfect square trinomial It'll factor as x plus 2 squared now in the denominator x squared plus 4 that's a sum of squares That's not going to factor using real numbers. So actually x squared plus 4 is an irreducible quadratic There is no real number x for which would plug into x squared plus 4 would give you zero as such the denominator Never goes to zero and so this function in fact has no vertical acetotes. So the correct answer is f