What is the asymptotes of f(x)=(3x-4)/(4x+9) ?

The asymptotes of f(x)=(3x-4)/(4x+9) is Vertical: x=-9/4 ,Horizontal: y= 3/4

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asymptotes of f(x)=(3x-4)/(4x+9)

asymptotes

f (x) = \frac{3 x - 4}{4 x + 9}

Vertical : x = - \frac{9}{4}, Horizontal : y = \frac{3}{4}

Solution steps

Vertical asymptotes of

\frac{3 x - 4}{4 x + 9} : x = - \frac{9}{4}

Horizontal Asymptotes of

\frac{3 x - 4}{4 x + 9} : y = \frac{3}{4}

Slant Asymptotes of

\frac{3 x - 4}{4 x + 9} :

None

Vertical : x = - \frac{9}{4}, Horizontal : y = \frac{3}{4}

f (x) = x^{3} - 6 x^{2} + 5

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

f (x) = \frac{4 y ^{2} + 16 y + 64}{y ^{3} - 6 y ^{2}}

f (x) = \frac{1}{\frac{20}{x - 5} - 2}

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

What is the asymptotes of f(x)=(3x-4)/(4x+9) ?
The asymptotes of f(x)=(3x-4)/(4x+9) is Vertical: x=-9/4 ,Horizontal: y= 3/4