What is the domain of f(x)=((ln(x)))/x ?

The domain of f(x)=((ln(x)))/x is x>0

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domain of f(x)=((ln(x)))/x

domain

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

x > 0

Interval Notation

(0, \infty)

Solution steps

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x > 0

\frac{3}{x ^{2} + 1}

\frac{x ^{2} + 12 x + 36}{x ^{2} - 36}

f (x) = ∣ 3 - x ∣

y = 8 x - 16

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