Find the equation of the line perpendicular to the asymptote of the graph of the function $f(x)=\displaystyle\frac{-3x+1}{x^2-2x+1}$.
2026-03-28 08:50:10.1774687810
Equation of the line perpendicular to the asymptote of the graph
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$$f(x)=\frac{-3x+1}{x^2-2x+1}=\frac{-3x+1}{(x-1)^2}$$ So the function has a vertical asmptote where $x=1$. The perpendicular to this asmptote is any line of the form $y=k$ where $k \in \mathbb{R}$ becuase the asmptote does not have an associated $y$ value.