Question

slant asymptote f(x)=x^2+x+4/x-1

Answer 1

Answer:

the slant asymptote is

y = x - 2

Step-by-step explanation:

First divide the denominator into the numerator.

Then the slant asymptote is

y

=

x

−

2

Answer 2

Answer:

$f(x)=x+2$

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 $f(x)=\frac{x^2+x+4}{x-1}$ is $f(x)=x+2$.