What is the asymptotes of f(x)=(3x^2+x-5)/(x^2+1) ?

The asymptotes of f(x)=(3x^2+x-5)/(x^2+1) is Horizontal: y=3

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asymptotes of f(x)=(3x^2+x-5)/(x^2+1)

asymptotes

f (x) = \frac{3 x ^{2} + x - 5}{x ^{2} + 1}

Horizontal : y = 3

Solution steps

Vertical asymptotes of

\frac{3 x ^{2} + x - 5}{x ^{2} + 1} :

None

Horizontal Asymptotes of

\frac{3 x ^{2} + x - 5}{x ^{2} + 1} : y = 3

Slant Asymptotes of

\frac{3 x ^{2} + x - 5}{x ^{2} + 1} :

None

Horizontal : y = 3

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

f (x) = 6 (x - 2) + 3

f (x) = - \frac{3}{5} x + \frac{7}{5}

f (x) = 2 x + 1, 0 \leq x < 1

f (x) = 4 x - 5

What is the asymptotes of f(x)=(3x^2+x-5)/(x^2+1) ?
The asymptotes of f(x)=(3x^2+x-5)/(x^2+1) is Horizontal: y=3