q(x)= x 2 −6x+9 x 2 −8x+15 q, left parenthesis, x, right parenthesis, equals, start fraction, x, squared, minus, 8, x, plus, 15, divided by, x, squared, minus, 6, x, plus, 9, end fraction Describe the behavior of the function qqq around its vertical asymptote at x=3x=3x, equals, 3.

rationalfunctions, there are noverticalasymptotesat therationalfunctionevaluated at x = 3.## What is the behavior of a functions close to one its vertical asymptotes?

rationalfunctionis q(x) = (x² – 6 · x + 9) / (x² – 8 · x + 15), there areverticalasymptotesforvaluesof x such that the denominator becomes zero. First, we factor bothnumeratoranddenominatorof theequationto seeevitableandnon-evitablediscontinuities:evitablediscontinuityand onenon-evitablediscontinuity. According to the theory ofrationalfunctions, there are noverticalasymptotesat therationalfunctionevaluated at x = 3.rational functions: https://brainly.com/question/27914791