What is the asymptotes of (-3x^2+4x+7)/(3-4x) ?

The asymptotes of (-3x^2+4x+7)/(3-4x) is Vertical: x= 3/4 ,Slant: y= 3/4 x-7/16

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asymptotes of (-3x^2+4x+7)/(3-4x)

asymptotes

\frac{- 3 x ^{2} + 4 x + 7}{3 - 4 x}

Vertical : x = \frac{3}{4}, Slant : y = \frac{3}{4} x - \frac{7}{16}

Solution steps

Vertical asymptotes of

\frac{- 3 x ^{2} + 4 x + 7}{3 - 4 x} : x = \frac{3}{4}

Horizontal Asymptotes of

\frac{- 3 x ^{2} + 4 x + 7}{3 - 4 x} :

None

Slant Asymptotes of

\frac{- 3 x ^{2} + 4 x + 7}{3 - 4 x} : y = \frac{3}{4} x - \frac{7}{16}

Vertical : x = \frac{3}{4}, Slant : y = \frac{3}{4} x - \frac{7}{16}

f (x) = \frac{5 x}{x + 6}

f (x) = \frac{5 x}{x + 8}

x + 3

g (x) = x (x + 2)^{3}

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

What is the asymptotes of (-3x^2+4x+7)/(3-4x) ?
The asymptotes of (-3x^2+4x+7)/(3-4x) is Vertical: x= 3/4 ,Slant: y= 3/4 x-7/16