What is the asymptotes of f(x)=(x^3-x-4)/(-x^2+5x-4) ?

The asymptotes of f(x)=(x^3-x-4)/(-x^2+5x-4) is Vertical: x=1,x=4,Slant: y=-x-5

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asymptotes of f(x)=(x^3-x-4)/(-x^2+5x-4)

asymptotes

f (x) = \frac{x ^{3} - x - 4}{- x ^{2} + 5 x - 4}

Vertical : x = 1, x = 4, Slant : y = - x - 5

Solution steps

Vertical asymptotes of

\frac{x ^{3} - x - 4}{- x ^{2} + 5 x - 4} : x = 1, x = 4

Horizontal Asymptotes of

\frac{x ^{3} - x - 4}{- x ^{2} + 5 x - 4} :

None

Slant Asymptotes of

\frac{x ^{3} - x - 4}{- x ^{2} + 5 x - 4} : y = - x - 5

Vertical : x = 1, x = 4, Slant : y = - x - 5

f (x) = x 4 - x^{2}

f (x) = \frac{- 2 x - 5}{3 x - 5}

\frac{2 x ^{2} + 5}{x ^{2} - 25}

f (x) = lo g_{3} (x + 1)

f (x) = lo g_{4} (x + 2)

What is the asymptotes of f(x)=(x^3-x-4)/(-x^2+5x-4) ?
The asymptotes of f(x)=(x^3-x-4)/(-x^2+5x-4) is Vertical: x=1,x=4,Slant: y=-x-5