What is the asymptotes of f(x)=(x^2+5)/(3x^2-14x-5) ?

The asymptotes of f(x)=(x^2+5)/(3x^2-14x-5) is Vertical: x=-1/3 ,x=5,Horizontal: y= 1/3

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asymptotes of f(x)=(x^2+5)/(3x^2-14x-5)

asymptotes

f (x) = \frac{x ^{2} + 5}{3 x ^{2} - 14 x - 5}

Vertical : x = - \frac{1}{3}, x = 5, Horizontal : y = \frac{1}{3}

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 5}{3 x ^{2} - 14 x - 5} : x = - \frac{1}{3}, x = 5

Horizontal Asymptotes of

\frac{x ^{2} + 5}{3 x ^{2} - 14 x - 5} : y = \frac{1}{3}

Slant Asymptotes of

\frac{x ^{2} + 5}{3 x ^{2} - 14 x - 5} :

None

Vertical : x = - \frac{1}{3}, x = 5, Horizontal : y = \frac{1}{3}

f (x) = (x - 2)^{2} (x - 7)

y = 2 x + 4

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

g (x) = 5 - x

f (x) = x^{3} - 6 x^{2} + 12 x - 5

What is the asymptotes of f(x)=(x^2+5)/(3x^2-14x-5) ?
The asymptotes of f(x)=(x^2+5)/(3x^2-14x-5) is Vertical: x=-1/3 ,x=5,Horizontal: y= 1/3