What is the asymptotes of f(x)=(x^2+3x+4)/(4(x-1)) ?

The asymptotes of f(x)=(x^2+3x+4)/(4(x-1)) is Vertical: x=1,Slant: y= 1/4 x+1

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asymptotes of f(x)=(x^2+3x+4)/(4(x-1))

asymptotes

Vertical : x = 1, Slant : y = \frac{1}{4} x + 1

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

\frac{x ^{2} + 3 x + 4}{4 ( x - 1 )} :

None

Slant Asymptotes of

\frac{x ^{2} + 3 x + 4}{4 ( x - 1 )} : y = \frac{1}{4} x + 1

Vertical : x = 1, Slant : y = \frac{1}{4} x + 1

What is the asymptotes of f(x)=(x^2+3x+4)/(4(x-1)) ?
The asymptotes of f(x)=(x^2+3x+4)/(4(x-1)) is Vertical: x=1,Slant: y= 1/4 x+1