What is the asymptotes of f(x)=(x^2+2x+1)/(5x^2-x-6) ?

The asymptotes of f(x)=(x^2+2x+1)/(5x^2-x-6) is Vertical: x= 6/5 ,Horizontal: y= 1/5

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asymptotes of f(x)=(x^2+2x+1)/(5x^2-x-6)

asymptotes

f (x) = \frac{x ^{2} + 2 x + 1}{5 x ^{2} - x - 6}

Vertical : x = \frac{6}{5}, Horizontal : y = \frac{1}{5}

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 2 x + 1}{5 x ^{2} - x - 6} : x = \frac{6}{5}

Horizontal Asymptotes of

\frac{x ^{2} + 2 x + 1}{5 x ^{2} - x - 6} : y = \frac{1}{5}

Slant Asymptotes of

\frac{x ^{2} + 2 x + 1}{5 x ^{2} - x - 6} :

None

Vertical : x = \frac{6}{5}, Horizontal : y = \frac{1}{5}

f (x) = \frac{5 x - 10}{2 x ^{2} + 3 x - 14}

f (x) = \frac{- 2 x ^{2} + 32}{3 x - 12}

\frac{x ^{2} - 3 x - 4}{x ^{2} - 1}

f (x) = \frac{( x ^{2} + 6 x + 9 )}{x + 3}

What is the asymptotes of f(x)=(x^2+2x+1)/(5x^2-x-6) ?
The asymptotes of f(x)=(x^2+2x+1)/(5x^2-x-6) is Vertical: x= 6/5 ,Horizontal: y= 1/5