A rational function is given.

Question

𝑟(x) =
𝑥^2 + 2𝑥/𝑥 − 1
what is the slant asymptotesof r(x)

Answer 1

To find the slant asymptote of a rational function, we need to divide the numerator by the denominator using long division or synthetic division. In this case, we have:

x + 3
r(x) = --------------
x - 1

Using long division, we get:

x + 3
r(x) = x + 4 + -----
x - 1

Therefore, the slant asymptote of r(x) is the line y = x + 4.