What is the asymptotes of f(x)=(7x^2+5x-2)/(2x^2-18) ?

The asymptotes of f(x)=(7x^2+5x-2)/(2x^2-18) is Vertical: x=-3,x=3,Horizontal: y= 7/2

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asymptotes of f(x)=(7x^2+5x-2)/(2x^2-18)

asymptotes

f (x) = \frac{7 x ^{2} + 5 x - 2}{2 x ^{2} - 18}

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

Solution steps

Vertical asymptotes of

\frac{7 x ^{2} + 5 x - 2}{2 x ^{2} - 18} : x = - 3, x = 3

Horizontal Asymptotes of

\frac{7 x ^{2} + 5 x - 2}{2 x ^{2} - 18} : y = \frac{7}{2}

Slant Asymptotes of

\frac{7 x ^{2} + 5 x - 2}{2 x ^{2} - 18} :

None

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

What is the asymptotes of f(x)=(7x^2+5x-2)/(2x^2-18) ?
The asymptotes of f(x)=(7x^2+5x-2)/(2x^2-18) is Vertical: x=-3,x=3,Horizontal: y= 7/2