What is the asymptotes of f(x)=(9x^2-64)/(9x-24) ?

The asymptotes of f(x)=(9x^2-64)/(9x-24) is Slant: y=x+8/3

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asymptotes of f(x)=(9x^2-64)/(9x-24)

asymptotes

f (x) = \frac{9 x ^{2} - 64}{9 x - 24}

Slant : y = x + \frac{8}{3}

Solution steps

Vertical asymptotes of

\frac{9 x ^{2} - 64}{9 x - 24} :

None

Horizontal Asymptotes of

\frac{9 x ^{2} - 64}{9 x - 24} :

None

Slant Asymptotes of

\frac{9 x ^{2} - 64}{9 x - 24} : y = x + \frac{8}{3}

Slant : y = x + \frac{8}{3}

f (x) = \frac{- 2 x ^{2} - 4 x}{4 x + 8}

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

f (x) = \frac{x ^{2}}{- 3 x ^{2} + 1}

f (x) = \frac{5 x ^{2} - 41 x + 8}{3 x ^{2} - 21 x}

f (x) = \frac{25}{x + 2.3}

What is the asymptotes of f(x)=(9x^2-64)/(9x-24) ?
The asymptotes of f(x)=(9x^2-64)/(9x-24) is Slant: y=x+8/3