What is the asymptotes of f(x)=(5x^2+x-9)/(x^2+1) ?

The asymptotes of f(x)=(5x^2+x-9)/(x^2+1) is Horizontal: y=5

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asymptotes of f(x)=(5x^2+x-9)/(x^2+1)

asymptotes

f (x) = \frac{5 x ^{2} + x - 9}{x ^{2} + 1}

Horizontal : y = 5

Solution steps

Vertical asymptotes of

\frac{5 x ^{2} + x - 9}{x ^{2} + 1} :

None

Horizontal Asymptotes of

\frac{5 x ^{2} + x - 9}{x ^{2} + 1} : y = 5

Slant Asymptotes of

\frac{5 x ^{2} + x - 9}{x ^{2} + 1} :

None

Horizontal : y = 5

(25), (23)

f (x) = \frac{x ^{3}}{x ^{2} - 4}

f (x) = \frac{1}{4} lo g_{4} (x)

lo g_{5} (x) + 2

(\frac{1}{2})^{x - 1}

What is the asymptotes of f(x)=(5x^2+x-9)/(x^2+1) ?
The asymptotes of f(x)=(5x^2+x-9)/(x^2+1) is Horizontal: y=5