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

The asymptotes of g(x)=(2x^2+3x+1)/(x^2-5) is Vertical: x=-sqrt(5),x=sqrt(5),Horizontal: y=2

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

asymptotes

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

Vertical : x = - 5, x = 5, Horizontal : y = 2

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = - 5, x = 5, Horizontal : y = 2

f (x) = \frac{( 4 x ^{2} + 12 x - 15 )}{3}

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

(- 6 5), (- 6 - 5)

f (x) = \frac{7 x + 63}{9 x}

f (x) = 2 x - 1 + 3

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