What is the asymptotes of f(x)=(2x^2+2)/(x+14-3x^2) ?

The asymptotes of f(x)=(2x^2+2)/(x+14-3x^2) is Vertical: x=-2,x= 7/3 ,Horizontal: y=-2/3

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asymptotes of f(x)=(2x^2+2)/(x+14-3x^2)

asymptotes

f (x) = \frac{2 x ^{2} + 2}{x + 14 - 3 x ^{2}}

Vertical : x = - 2, x = \frac{7}{3}, Horizontal : y = - \frac{2}{3}

Solution steps

Vertical asymptotes of

\frac{2 x ^{2} + 2}{x + 14 - 3 x ^{2}} : x = - 2, x = \frac{7}{3}

Horizontal Asymptotes of

\frac{2 x ^{2} + 2}{x + 14 - 3 x ^{2}} : y = - \frac{2}{3}

Slant Asymptotes of

\frac{2 x ^{2} + 2}{x + 14 - 3 x ^{2}} :

None

Vertical : x = - 2, x = \frac{7}{3}, Horizontal : y = - \frac{2}{3}

\frac{5 x - 25}{x ^{2} - 10 x + 25}

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

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

6 x^{4} + 8 x^{3}

\frac{2 x ^{2} + 10 x - 12}{x ^{2} + x - 6}

What is the asymptotes of f(x)=(2x^2+2)/(x+14-3x^2) ?
The asymptotes of f(x)=(2x^2+2)/(x+14-3x^2) is Vertical: x=-2,x= 7/3 ,Horizontal: y=-2/3