What is the asymptotes of f(x)=(x^3-x^2+x-1)/(x-x^3) ?

The asymptotes of f(x)=(x^3-x^2+x-1)/(x-x^3) is Vertical: x=-1,x=0,Horizontal: y=-1

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asymptotes of f(x)=(x^3-x^2+x-1)/(x-x^3)

asymptotes

f (x) = \frac{x ^{3} - x ^{2} + x - 1}{x - x ^{3}}

Vertical : x = - 1, x = 0, Horizontal : y = - 1

Solution steps

Vertical asymptotes of

\frac{x ^{3} - x ^{2} + x - 1}{x - x ^{3}} : x = - 1, x = 0

Horizontal Asymptotes of

\frac{x ^{3} - x ^{2} + x - 1}{x - x ^{3}} : y = - 1

Slant Asymptotes of

\frac{x ^{3} - x ^{2} + x - 1}{x - x ^{3}} :

None

Vertical : x = - 1, x = 0, Horizontal : y = - 1

3 x^{7} - x^{5} - 7 x^{4} - 2 x^{3} + 3 x^{2}

2 x + 4 - 1

x + 3 y = 9

f (x) = 3 x^{2} + 2 y^{2} = 48

(5.1) (11.9)

What is the asymptotes of f(x)=(x^3-x^2+x-1)/(x-x^3) ?
The asymptotes of f(x)=(x^3-x^2+x-1)/(x-x^3) is Vertical: x=-1,x=0,Horizontal: y=-1