What is the asymptotes of (2x^2-7x-15)/(3x^2-14x-5) ?

The asymptotes of (2x^2-7x-15)/(3x^2-14x-5) is Vertical: x=-1/3 ,Horizontal: y= 2/3

asymptotes of (2x^2-7x-15)/(3x^2-14x-5)

asymptotes

\frac{2 x ^{2} - 7 x - 15}{3 x ^{2} - 14 x - 5}

Vertical : x = - \frac{1}{3}, Horizontal : y = \frac{2}{3}

Solution steps

Vertical asymptotes of

\frac{2 x ^{2} - 7 x - 15}{3 x ^{2} - 14 x - 5} : x = - \frac{1}{3}

Horizontal Asymptotes of

\frac{2 x ^{2} - 7 x - 15}{3 x ^{2} - 14 x - 5} : y = \frac{2}{3}

Slant Asymptotes of

\frac{2 x ^{2} - 7 x - 15}{3 x ^{2} - 14 x - 5} :

None

Vertical : x = - \frac{1}{3}, Horizontal : y = \frac{2}{3}

in v erse f (x) = \frac{1}{x - 3} + 2

p er p e n d i c u l a r y = \frac{x}{4} + 7, (2, - 2)

in v erse y = - \frac{3}{x + 4}

s l o p e in t erce pt m = - \frac{4}{3} (0 - \frac{2}{5})

d o main f (x) = (x + x + 4)

What is the asymptotes of (2x^2-7x-15)/(3x^2-14x-5) ?
The asymptotes of (2x^2-7x-15)/(3x^2-14x-5) is Vertical: x=-1/3 ,Horizontal: y= 2/3