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

The asymptotes of f(x)=((x+1)^2)/(x^2+1) is Horizontal: y=1

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

asymptotes

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

Horizontal : y = 1

Solution steps

Vertical asymptotes of

\frac{( x + 1 ) ^{2}}{x ^{2} + 1} :

None

Horizontal Asymptotes of

\frac{( x + 1 ) ^{2}}{x ^{2} + 1} : y = 1

Slant Asymptotes of

\frac{( x + 1 ) ^{2}}{x ^{2} + 1} :

None

Horizontal : y = 1

x^{2} - 3

f (x) = \frac{x - 5}{x ^{2} - 9 x + 20}

f (x) = \frac{5 x - 25}{x ^{2} - 6 x + 5}

f (x) = \frac{- 3 x - 15}{x - 2}

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

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