Question

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

Answer 1

`f(x)=x+2`

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)=(x^2+x+4)/(x-1)` is
`f(x)=x+2`.

Answer 2

the slant asymptote is

y = x - 2

Explanation:

First divide the denominator into the numerator.

Then the slant asymptote is

y

=

x

−

2