What is the asymptotes of f(x)=(5x^2+49x+72)/(2x+20) ?

The asymptotes of f(x)=(5x^2+49x+72)/(2x+20) is Vertical: x=-10,Slant: y= 5/2 x-1/2

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asymptotes of f(x)=(5x^2+49x+72)/(2x+20)

asymptotes

f (x) = \frac{5 x ^{2} + 49 x + 72}{2 x + 20}

Vertical : x = - 10, Slant : y = \frac{5}{2} x - \frac{1}{2}

Solution steps

Vertical asymptotes of

\frac{5 x ^{2} + 49 x + 72}{2 x + 20} : x = - 10

Horizontal Asymptotes of

\frac{5 x ^{2} + 49 x + 72}{2 x + 20} :

None

Slant Asymptotes of

\frac{5 x ^{2} + 49 x + 72}{2 x + 20} : y = \frac{5}{2} x - \frac{1}{2}

Vertical : x = - 10, Slant : y = \frac{5}{2} x - \frac{1}{2}

f (x) = \frac{4 x + 4}{x ^{2} + 6 x + 5}

f (x) = \frac{3 x - 6}{x ^{2} - 11 x + 18}

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

f (x) = \frac{2 x + 10}{5 x - 25}

f (x) = \frac{2 x - 16}{3 x ^{2} - 11 x + 6}

What is the asymptotes of f(x)=(5x^2+49x+72)/(2x+20) ?
The asymptotes of f(x)=(5x^2+49x+72)/(2x+20) is Vertical: x=-10,Slant: y= 5/2 x-1/2