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

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

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

asymptotes

f (x) = \frac{4 x ^{2} - 4 x}{3 x ^{2} + 4 x - 7}

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

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

\frac{3 x ^{2} - 15 x}{- 2 x + 10}

x^{2} + 4

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

x^{2} - 3

f (x) = \frac{x - 5}{x ^{2} - 9 x + 20}

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