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Popular >

f(x)=(ln(3x))/x

Solution

f (x) = \frac{ln ( 3 x )}{x}

Solution

Domain : x > 0

Range : f (x) \leq \frac{3}{e}

X Intercepts : (\frac{1}{3}, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Maximum (\frac{e}{3}, \frac{3}{e})

+1

Interval Notation

Domain : (0, \infty)

Range : (- \infty, \frac{3}{e}]

Solution steps

Domain of

\frac{ln ( 3 x )}{x} : x > 0

Range of

\frac{ln ( 3 x )}{x} : f (x) \leq \frac{3}{e}

Axis interception points of

\frac{ln ( 3 x )}{x} :

X Intercepts

: (\frac{1}{3}, 0)

Asymptotes of

\frac{ln ( 3 x )}{x} :

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{ln ( 3 x )}{x} :

Maximum

(\frac{e}{3}, \frac{3}{e})

Popular Examples

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y = 12 x^{3} - 65 x^{2} + 74 x - 24

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f (x) = \frac{5 - 2 x}{- 7 x}

Frequently Asked Questions (FAQ)

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