Basic functions: Rational functions
An oblique asymptote of a rational function
Given is the function \[f(x) = \frac{-2 x^2-3 x+12}{3-2 x}\] Determine the asymptotes of \(f\).
Give the equations of the vertical asymptotes of \(f\) in the form #x=\ldots# and separate multiple answers by the or operator \(\vee\). If there are no verticale asymptotes, enter the word none.
Give an equation \(y=\ldots\) for an oblique asymptote of \(f\).
Vertical asymptotes: |
Oblique asymptote: |
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