Question

Find the vertical asymptotes of the graph of the rational function. y= x-15 / x + 6 The equation (s) of the vertical asymptotes is/are x= _____. (Use a comma to separate the answers as needed.)

Answer 1

Solution

The vertical asymptotes

$\begin{gathered} y=\frac{x-15}{x+6}= \\ \end{gathered}$

setting the denominator to 0

=> x + 6 = 0

=> x = - 6

The equation (s) of the vertical asymptotes is/are x = - 6