What is the asymptotes of f(x)=(3x^2-243)/(2x^2+9x) ?

The asymptotes of f(x)=(3x^2-243)/(2x^2+9x) is Vertical: x=-9/2 ,x=0,Horizontal: y= 3/2

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asymptotes of f(x)=(3x^2-243)/(2x^2+9x)

asymptotes

f (x) = \frac{3 x ^{2} - 243}{2 x ^{2} + 9 x}

Vertical : x = - \frac{9}{2}, x = 0, Horizontal : y = \frac{3}{2}

Solution steps

Vertical asymptotes of

\frac{3 x ^{2} - 243}{2 x ^{2} + 9 x} : x = - \frac{9}{2}, x = 0

Horizontal Asymptotes of

\frac{3 x ^{2} - 243}{2 x ^{2} + 9 x} : y = \frac{3}{2}

Slant Asymptotes of

\frac{3 x ^{2} - 243}{2 x ^{2} + 9 x} :

None

Vertical : x = - \frac{9}{2}, x = 0, Horizontal : y = \frac{3}{2}

f (x) = lo g_{10} (x - 5)

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

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

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

f (x) = \frac{2 x + 8}{3 x + 12}

What is the asymptotes of f(x)=(3x^2-243)/(2x^2+9x) ?
The asymptotes of f(x)=(3x^2-243)/(2x^2+9x) is Vertical: x=-9/2 ,x=0,Horizontal: y= 3/2