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

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

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

asymptotes

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

Vertical : x = \frac{14}{3}, Horizontal : y = \frac{1}{3}

Solution steps

Vertical asymptotes of

\frac{x + 5}{3 x - 14} : x = \frac{14}{3}

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = \frac{14}{3}, Horizontal : y = \frac{1}{3}

f (x) = \frac{3 x}{x ^{2} - 25}

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

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

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

f (x) = x (x - 4)^{3}

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