What is the asymptotes of f(x)=(6x+14)/(x^2-5x-14) ?

The asymptotes of f(x)=(6x+14)/(x^2-5x-14) is Vertical: x=-2,x=7,Horizontal: y=0

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asymptotes of f(x)=(6x+14)/(x^2-5x-14)

asymptotes

f (x) = \frac{6 x + 14}{x ^{2} - 5 x - 14}

Vertical : x = - 2, x = 7, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{6 x + 14}{x ^{2} - 5 x - 14} : x = - 2, x = 7

Horizontal Asymptotes of

\frac{6 x + 14}{x ^{2} - 5 x - 14} : y = 0

Slant Asymptotes of

\frac{6 x + 14}{x ^{2} - 5 x - 14} :

None

Vertical : x = - 2, x = 7, Horizontal : y = 0

f (x) = \frac{x - 7}{2 x ^{2} - 16 x - 40}

f (x) = \frac{6}{x}

f (x) = \frac{x ^{2} - 16}{3 x - 12}

f (x) = \frac{15 x - 3}{x ^{2} + 2 x - 35}

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

What is the asymptotes of f(x)=(6x+14)/(x^2-5x-14) ?
The asymptotes of f(x)=(6x+14)/(x^2-5x-14) is Vertical: x=-2,x=7,Horizontal: y=0