What is the asymptotes of f(x)=x+4/(x^2+1) ?

The asymptotes of f(x)=x+4/(x^2+1) is Slant: y=x

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asymptotes of f(x)=x+4/(x^2+1)

asymptotes

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

Slant : y = x

Solution steps

Vertical asymptotes of

x + \frac{4}{x ^{2} + 1} :

None

Horizontal Asymptotes of

x + \frac{4}{x ^{2} + 1} :

None

Slant Asymptotes of

x + \frac{4}{x ^{2} + 1} : y = x

Slant : y = x

f (x) = \frac{x - 1}{x ^{2} - 4 x - 5}

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

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

f (x) = \frac{x}{ln ( x ^{4} )}

\frac{5 x + 5}{- x ^{2} - 2 x - 1}

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