What is the asymptotes of f(x)=(x^2+x-6)/(x-1) ?

The asymptotes of f(x)=(x^2+x-6)/(x-1) is Vertical: x=1,Slant: y=x+2

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asymptotes of f(x)=(x^2+x-6)/(x-1)

asymptotes

f (x) = \frac{x ^{2} + x - 6}{x - 1}

Vertical : x = 1, Slant : y = x + 2

Solution steps

Vertical asymptotes of

\frac{x ^{2} + x - 6}{x - 1} : x = 1

Horizontal Asymptotes of

\frac{x ^{2} + x - 6}{x - 1} :

None

Slant Asymptotes of

\frac{x ^{2} + x - 6}{x - 1} : y = x + 2

Vertical : x = 1, Slant : y = x + 2

f (x) = \frac{x + 2}{2 x - 8}

- \frac{4}{3} tan (5) (x - \frac{π}{2}) + 3

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

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

f (x) = \frac{1}{sin ( x )}

What is the asymptotes of f(x)=(x^2+x-6)/(x-1) ?
The asymptotes of f(x)=(x^2+x-6)/(x-1) is Vertical: x=1,Slant: y=x+2