What is the asymptotes of (5x^2+18x-8)/(2x+5) ?

The asymptotes of (5x^2+18x-8)/(2x+5) is Vertical: x=-5/2 ,Slant: y= 5/2 x+11/4

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asymptotes of (5x^2+18x-8)/(2x+5)

asymptotes

\frac{5 x ^{2} + 18 x - 8}{2 x + 5}

Vertical : x = - \frac{5}{2}, Slant : y = \frac{5}{2} x + \frac{11}{4}

Solution steps

Vertical asymptotes of

\frac{5 x ^{2} + 18 x - 8}{2 x + 5} : x = - \frac{5}{2}

Horizontal Asymptotes of

\frac{5 x ^{2} + 18 x - 8}{2 x + 5} :

None

Slant Asymptotes of

\frac{5 x ^{2} + 18 x - 8}{2 x + 5} : y = \frac{5}{2} x + \frac{11}{4}

Vertical : x = - \frac{5}{2}, Slant : y = \frac{5}{2} x + \frac{11}{4}

f (x) = 3^{x - 5} + 4

y = \frac{5 x}{2 x - 1}

f (x) = \frac{4 x - 3}{2 x + 1}

y = \frac{2 x ^{2}}{1 - x ^{2}}

What is the asymptotes of (5x^2+18x-8)/(2x+5) ?
The asymptotes of (5x^2+18x-8)/(2x+5) is Vertical: x=-5/2 ,Slant: y= 5/2 x+11/4