Respuesta :
Nevermind the answer was x=1 and x=2. If anyone is wondering how to do it you can put the denominator in desmos and where the 2 points hit the x axis is your answer.
Answer:
x=1 and x=2
Step-by-step explanation:
[tex]f(x)=\frac{x-8}{x^2-3x+2}[/tex]
To find the vertical asymptote , we set the denominator =0 and solve for x
[tex]x^2-3x+2=0[/tex]
Factor the left hand side of the equation
Product is 2 and sum is -3
the factors are -2 and -1
[tex](x-2)(x-1)=0[/tex]
Set each factor =0 and solve for x
[tex]x-2=0 , x=2[/tex]
[tex]x-1=0 , x=1[/tex]
the vertical asymptote at x=1 and x=2