What is the asymptotes of f(x)=(4x^2-9)/(6x-9) ?

The asymptotes of f(x)=(4x^2-9)/(6x-9) is Slant: y= 2/3 x+1

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asymptotes of f(x)=(4x^2-9)/(6x-9)

asymptotes

f (x) = \frac{4 x ^{2} - 9}{6 x - 9}

Slant : y = \frac{2}{3} x + 1

Solution steps

Vertical asymptotes of

\frac{4 x ^{2} - 9}{6 x - 9} :

None

Horizontal Asymptotes of

\frac{4 x ^{2} - 9}{6 x - 9} :

None

Slant Asymptotes of

\frac{4 x ^{2} - 9}{6 x - 9} : y = \frac{2}{3} x + 1

Slant : y = \frac{2}{3} x + 1

3 x - 8 y = 3

\frac{6 x}{x - 8} - \frac{7}{8 - x}

2 x + 2

f (x) = 3 x^{2} - 30 x - 9

f (x) = 2 x - 4 y = - 1

What is the asymptotes of f(x)=(4x^2-9)/(6x-9) ?
The asymptotes of f(x)=(4x^2-9)/(6x-9) is Slant: y= 2/3 x+1