What is the asymptotes of f(x)=(x^2+x-6)/(x-4) ?

The asymptotes of f(x)=(x^2+x-6)/(x-4) is Vertical: x=4,Slant: y=x+5

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asymptotes of f(x)=(x^2+x-6)/(x-4)

asymptotes

f (x) = \frac{x ^{2} + x - 6}{x - 4}

Vertical : x = 4, Slant : y = x + 5

Solution steps

Vertical asymptotes of

\frac{x ^{2} + x - 6}{x - 4} : x = 4

Horizontal Asymptotes of

\frac{x ^{2} + x - 6}{x - 4} :

None

Slant Asymptotes of

\frac{x ^{2} + x - 6}{x - 4} : y = x + 5

Vertical : x = 4, Slant : y = x + 5

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

5 - x + 25

f (x) = - 2 x^{2} + 8 x + 7

f (x) = x^{2} (x - 3)

f (x) = - 3^{x}

What is the asymptotes of f(x)=(x^2+x-6)/(x-4) ?
The asymptotes of f(x)=(x^2+x-6)/(x-4) is Vertical: x=4,Slant: y=x+5