What is the asymptotes of f(x)=(x^2-16)/(3x-12) ?

The asymptotes of f(x)=(x^2-16)/(3x-12) is Slant: y= 1/3 x+4/3

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asymptotes of f(x)=(x^2-16)/(3x-12)

asymptotes

f (x) = \frac{x ^{2} - 16}{3 x - 12}

Slant : y = \frac{1}{3} x + \frac{4}{3}

Solution steps

Vertical asymptotes of

\frac{x ^{2} - 16}{3 x - 12} :

None

Horizontal Asymptotes of

\frac{x ^{2} - 16}{3 x - 12} :

None

Slant Asymptotes of

\frac{x ^{2} - 16}{3 x - 12} : y = \frac{1}{3} x + \frac{4}{3}

Slant : y = \frac{1}{3} x + \frac{4}{3}

f (x) = \frac{15 x - 3}{x ^{2} + 2 x - 35}

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

f (x) = \frac{( 2 - x ) ( 3 x + 1 )}{x ^{2} - 4}

f (x) = \frac{x ^{2} + 1}{x ^{2} - 4}

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

What is the asymptotes of f(x)=(x^2-16)/(3x-12) ?
The asymptotes of f(x)=(x^2-16)/(3x-12) is Slant: y= 1/3 x+4/3