What is the asymptotes of f(x)=(x^2-8x-20)/(15x-27) ?

The asymptotes of f(x)=(x^2-8x-20)/(15x-27) is Vertical: x= 9/5 ,Slant: y= 1/15 x-31/75

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asymptotes of f(x)=(x^2-8x-20)/(15x-27)

asymptotes

f (x) = \frac{x ^{2} - 8 x - 20}{15 x - 27}

Vertical : x = \frac{9}{5}, Slant : y = \frac{1}{15} x - \frac{31}{75}

Solution steps

Vertical asymptotes of

\frac{x ^{2} - 8 x - 20}{15 x - 27} : x = \frac{9}{5}

Horizontal Asymptotes of

\frac{x ^{2} - 8 x - 20}{15 x - 27} :

None

Slant Asymptotes of

\frac{x ^{2} - 8 x - 20}{15 x - 27} : y = \frac{1}{15} x - \frac{31}{75}

Vertical : x = \frac{9}{5}, Slant : y = \frac{1}{15} x - \frac{31}{75}

5 x - 2

(1, 4), (2, 4)

f (x) = 3 (x - 6)^{2}

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

f (x) = x^{2} + 5 x + 1

What is the asymptotes of f(x)=(x^2-8x-20)/(15x-27) ?
The asymptotes of f(x)=(x^2-8x-20)/(15x-27) is Vertical: x= 9/5 ,Slant: y= 1/15 x-31/75