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

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

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

asymptotes

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

Horizontal : y = 1, Slant : y = 2 x - 1

Solution steps

Vertical asymptotes of

x + x^{2} - 2 x :

None

Horizontal Asymptotes of

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

Slant Asymptotes of

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

Horizontal : y = 1, Slant : y = 2 x - 1

f (x) = \frac{6}{x - 3} + 2

f (x) = \frac{2 x - 6}{x ^{2} - 9}

\frac{x ^{2} + 5 x + 4}{x ^{2} - 13 x + 40}

f (x) = \frac{x ^{4} - 1}{x ^{2}}

\frac{1}{x - 2} - 3

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