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

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

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

asymptotes

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

Vertical : x = - \frac{1}{4}, x = 2, Horizontal : y = - \frac{1}{4}

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = - \frac{1}{4}, x = 2, Horizontal : y = - \frac{1}{4}

4 (\frac{1}{4})^{x - 3} - 6

f (x) = (x - 4)^{2} - 1

f (x) = 6 x^{3} + 6

3 cos (4 x)

x^{2} - 4 x

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