What is the asymptotes of f(x)=(4x^2-7x-2)/(x^2+1) ?

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

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asymptotes of f(x)=(4x^2-7x-2)/(x^2+1)

asymptotes

f (x) = \frac{4 x ^{2} - 7 x - 2}{x ^{2} + 1}

Horizontal : y = 4

Solution steps

Vertical asymptotes of

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

None

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Horizontal : y = 4

(1, - 1), (5, 3)

m = - 1, (- 5, 1)

f (x) = x^{2} + 4, x \geq 0

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

\frac{( 1 )}{( - 10 ( \frac{( 1 )}{( - 5 x - 6 )} ) + 3 )}

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