What is the asymptotes of f(x)=(x^2+2)/(7x-4x^2) ?

The asymptotes of f(x)=(x^2+2)/(7x-4x^2) is Vertical: x=0,x= 7/4 ,Horizontal: y=-1/4

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asymptotes of f(x)=(x^2+2)/(7x-4x^2)

asymptotes

f (x) = \frac{x ^{2} + 2}{7 x - 4 x ^{2}}

Vertical : x = 0, x = \frac{7}{4}, Horizontal : y = - \frac{1}{4}

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 2}{7 x - 4 x ^{2}} : x = 0, x = \frac{7}{4}

Horizontal Asymptotes of

\frac{x ^{2} + 2}{7 x - 4 x ^{2}} : y = - \frac{1}{4}

Slant Asymptotes of

\frac{x ^{2} + 2}{7 x - 4 x ^{2}} :

None

Vertical : x = 0, x = \frac{7}{4}, Horizontal : y = - \frac{1}{4}

f (x) = \frac{4}{x ^{2} + 2 x - 8}

y = - x + 1 - 3

f (x) = x^{(\frac{7}{2})} - 7 x^{2}

2 y = x - 3, (- 1, 2)

f (x) = \frac{3 x}{x ^{2} - 25}

What is the asymptotes of f(x)=(x^2+2)/(7x-4x^2) ?
The asymptotes of f(x)=(x^2+2)/(7x-4x^2) is Vertical: x=0,x= 7/4 ,Horizontal: y=-1/4