To find out the vertical asymptotes, you must find out which value equals the denominator to 0.
In this case will be:
x=5 and x -3 because:
[tex]\begin{gathered} Y=\text{ }\frac{(x\text{ -2\rparen\lparen x+5\rparen}}{(x\text{ -5\rparen \lparen x + 3\rparen}} \\ y=\frac{(x-2)(x+5\rparen}{(5\text{ -5\rparen \lparen x+3\rparen}} \\ y=\text{ }\frac{(x-2\rparen(x+5\rparen}{0} \\ y=\text{ undefined} \\ \\ y=\frac{(x-2\rparen(x+5\rparen}{(x\text{ -5\rparen\lparen-3 + 3\rparen}} \\ y=\text{ }\frac{(x-2\rparen(x+5\rparen}{0} \\ y=undefined \end{gathered}[/tex]
The answers are:
x=5 and x= -3
