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

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

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

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

f (x) = \frac{5 - x}{3 x + 2}

f (x) = x^{2} - 4 x + 3

\frac{2 x ^{2}}{x ^{2} - 3 x - 10}

f (x) = x \cdot sin (\frac{1}{x ^{2}})

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