What is the asymptotes of f(x)=(1+2x^2)/(5x+3x^2) ?

The asymptotes of f(x)=(1+2x^2)/(5x+3x^2) is Vertical: x=-5/3 ,x=0,Horizontal: y= 2/3

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asymptotes of f(x)=(1+2x^2)/(5x+3x^2)

asymptotes

f (x) = \frac{1 + 2 x ^{2}}{5 x + 3 x ^{2}}

Vertical : x = - \frac{5}{3}, x = 0, Horizontal : y = \frac{2}{3}

Solution steps

Vertical asymptotes of

\frac{1 + 2 x ^{2}}{5 x + 3 x ^{2}} : x = - \frac{5}{3}, x = 0

Horizontal Asymptotes of

\frac{1 + 2 x ^{2}}{5 x + 3 x ^{2}} : y = \frac{2}{3}

Slant Asymptotes of

\frac{1 + 2 x ^{2}}{5 x + 3 x ^{2}} :

None

Vertical : x = - \frac{5}{3}, x = 0, Horizontal : y = \frac{2}{3}

\frac{1 - 7 x}{9}

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

f (x) = 2 y - 4 = 7 x

\frac{x ^{2}}{x ^{2} - 9}

What is the asymptotes of f(x)=(1+2x^2)/(5x+3x^2) ?
The asymptotes of f(x)=(1+2x^2)/(5x+3x^2) is Vertical: x=-5/3 ,x=0,Horizontal: y= 2/3