What is the asymptotes of f(x)=sqrt(x^2-6x+1)-x ?

The asymptotes of f(x)=sqrt(x^2-6x+1)-x is Horizontal: y=-3,Slant: y=-2x+3

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asymptotes of f(x)=sqrt(x^2-6x+1)-x

asymptotes

f (x) = x^{2} - 6 x + 1 - x

Horizontal : y = - 3, Slant : y = - 2 x + 3

Solution steps

Vertical asymptotes of

x^{2} - 6 x + 1 - x :

None

Horizontal Asymptotes of

x^{2} - 6 x + 1 - x : y = - 3

Slant Asymptotes of

x^{2} - 6 x + 1 - x : y = - 2 x + 3

Horizontal : y = - 3, Slant : y = - 2 x + 3

f (x) = x

\frac{- 5 x + 25}{9}

2 x - 5 y = 8

f (x) = ln (x) + 4

y = 4 x^{3} - 48 x - 5

What is the asymptotes of f(x)=sqrt(x^2-6x+1)-x ?
The asymptotes of f(x)=sqrt(x^2-6x+1)-x is Horizontal: y=-3,Slant: y=-2x+3