Question

I need help with this practice problem solving It is a practice from my ACT prep guide

Answer 1

Given a rational function below

`f(x)=(8x^3-6x^2+6x-5)/(2x^2-1)`

To find the slant asymptote, divide the numerator by the denominator applying long division

The quotient is the slant asymptote

Hence, the slant asymptote of the given function is

`y=4x-3`