What is the asymptotes of f(x)=(4x^2-81)/(3x-12) ?

The asymptotes of f(x)=(4x^2-81)/(3x-12) is Vertical: x=4,Slant: y= 4/3 x+16/3

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asymptotes of f(x)=(4x^2-81)/(3x-12)

asymptotes

f (x) = \frac{4 x ^{2} - 81}{3 x - 12}

Vertical : x = 4, Slant : y = \frac{4}{3} x + \frac{16}{3}

Solution steps

Vertical asymptotes of

\frac{4 x ^{2} - 81}{3 x - 12} : x = 4

Horizontal Asymptotes of

\frac{4 x ^{2} - 81}{3 x - 12} :

None

Slant Asymptotes of

\frac{4 x ^{2} - 81}{3 x - 12} : y = \frac{4}{3} x + \frac{16}{3}

Vertical : x = 4, Slant : y = \frac{4}{3} x + \frac{16}{3}

What is the asymptotes of f(x)=(4x^2-81)/(3x-12) ?
The asymptotes of f(x)=(4x^2-81)/(3x-12) is Vertical: x=4,Slant: y= 4/3 x+16/3