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

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

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

asymptotes

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

Vertical : x = - 2, x = \frac{1}{3}, Horizontal : y = 0

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = - 2, x = \frac{1}{3}, Horizontal : y = 0

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

\frac{x ^{2} - 16 x}{x ^{2} - 16}

f (x) = \frac{x - 1}{x ^{2} - 5 x + 6}

\frac{- 3 x + 3}{x ^{2} - 6 x + 5}

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

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