What is the asymptotes of f(x)=(x-1)/(3x) ?

The asymptotes of f(x)=(x-1)/(3x) is Vertical: x=0,Horizontal: y= 1/3

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asymptotes of f(x)=(x-1)/(3x)

asymptotes

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

Vertical : x = 0, Horizontal : y = \frac{1}{3}

Solution steps

Vertical asymptotes of

\frac{x - 1}{3 x} : x = 0

Horizontal Asymptotes of

\frac{x - 1}{3 x} : y = \frac{1}{3}

Slant Asymptotes of

\frac{x - 1}{3 x} :

None

Vertical : x = 0, Horizontal : y = \frac{1}{3}

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

4 x - 1

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

\frac{1}{∣ 4 - x ∣}

f (x) = \frac{16}{x ^{2}}

What is the asymptotes of f(x)=(x-1)/(3x) ?
The asymptotes of f(x)=(x-1)/(3x) is Vertical: x=0,Horizontal: y= 1/3