What is the asymptotes of f(x)=(2x^2+3x+6)/(x^2+1) ?

The asymptotes of f(x)=(2x^2+3x+6)/(x^2+1) is Horizontal: y=2

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asymptotes of f(x)=(2x^2+3x+6)/(x^2+1)

asymptotes

f (x) = \frac{2 x ^{2} + 3 x + 6}{x ^{2} + 1}

Horizontal : y = 2

Solution steps

Vertical asymptotes of

\frac{2 x ^{2} + 3 x + 6}{x ^{2} + 1} :

None

Horizontal Asymptotes of

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

Slant Asymptotes of

\frac{2 x ^{2} + 3 x + 6}{x ^{2} + 1} :

None

Horizontal : y = 2

lo g_{3} (x - 2)

f (x) = \frac{x ^{2} - 25}{x ^{2} - 3 x - 10}

f (x) = \frac{2 x - 10}{x + 3}

\frac{3 x ^{3} + x ^{2} + 1}{x ^{2} + 2 x}

y = 4 x

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