Answer:
[tex]x =8[/tex]
Step-by-step explanation:
Given is a rational function in x as
[tex]f(x) =\frac{x^2+3}{3(x-8)}[/tex]
This function has denominator which has x-8 as a factor.
Hence this becomes undefined when denominator =0
i.e. when [tex]x-8=0\\x=8[/tex]
So vertical asymptote is at[tex]x =___8____[/tex]