What is the asymptotes of f(x)= 1/x+1/4 x ?

The asymptotes of f(x)= 1/x+1/4 x is Vertical: x=0,Slant: y= 1/4 x

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asymptotes of f(x)= 1/x+1/4 x

asymptotes

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

Vertical : x = 0, Slant : y = \frac{1}{4} x

Solution steps

Vertical asymptotes of

\frac{1}{x} + \frac{1}{4} x : x = 0

Horizontal Asymptotes of

\frac{1}{x} + \frac{1}{4} x :

None

Slant Asymptotes of

\frac{1}{x} + \frac{1}{4} x : y = \frac{1}{4} x

Vertical : x = 0, Slant : y = \frac{1}{4} x

f (x) = \frac{x ^{2} + 3 x + 2}{2 x ^{2} + 14 x}

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

f (x) = 9 x

f (x) = \frac{2}{x}

y = - x

What is the asymptotes of f(x)= 1/x+1/4 x ?
The asymptotes of f(x)= 1/x+1/4 x is Vertical: x=0,Slant: y= 1/4 x