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Popular Functions >

f(x)=(ln(5x))/x

Solution

f (x) = \frac{ln ( 5 x )}{x}

Solution

Domain : x > 0

Range : f (x) \leq \frac{5}{e}

X Intercepts : (\frac{1}{5}, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Maximum (\frac{e}{5}, \frac{5}{e})

+1

Interval Notation

Domain : (0, \infty)

Range : (- \infty, \frac{5}{e}]

Solution steps

Domain of

\frac{ln ( 5 x )}{x} : x > 0

Range of

\frac{ln ( 5 x )}{x} : f (x) \leq \frac{5}{e}

Axis interception points of

\frac{ln ( 5 x )}{x} :

X Intercepts

: (\frac{1}{5}, 0)

Asymptotes of

\frac{ln ( 5 x )}{x} :

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{ln ( 5 x )}{x} :

Maximum

(\frac{e}{5}, \frac{5}{e})

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=(ln(5x))/x ?
The f(x)=(ln(5x))/x is