What is the asymptotes of f(x)=(x^2+6x-16)/(3x+15) ?

The asymptotes of f(x)=(x^2+6x-16)/(3x+15) is Vertical: x=-5,Slant: y= 1/3 x+1/3

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asymptotes of f(x)=(x^2+6x-16)/(3x+15)

asymptotes

f (x) = \frac{x ^{2} + 6 x - 16}{3 x + 15}

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

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 6 x - 16}{3 x + 15} : x = - 5

Horizontal Asymptotes of

\frac{x ^{2} + 6 x - 16}{3 x + 15} :

None

Slant Asymptotes of

\frac{x ^{2} + 6 x - 16}{3 x + 15} : y = \frac{1}{3} x + \frac{1}{3}

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

f (x) = 2^{- x} + 4

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

f (x) = \frac{2 + 9 x}{7 - 6 x}

\frac{x ^{2} - 4 x - 5}{x + 1}

f (x) = \frac{- 3 x - 15}{2 x + 6}

What is the asymptotes of f(x)=(x^2+6x-16)/(3x+15) ?
The asymptotes of f(x)=(x^2+6x-16)/(3x+15) is Vertical: x=-5,Slant: y= 1/3 x+1/3