Answer:
[tex]f(x)=x+2[/tex]
Step-by-step explanation:
The slant/oblique asymptote of a rational function is equal to its quotient without the remainder
Use synthetic division:
1 | 1 1 4
___ 1 2
1 2 | 6
Therefore, the slant asymptote of [tex]f(x)=\frac{x^2+x+4}{x-1}[/tex] is [tex]f(x)=x+2[/tex].
