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Popular Calculus >

f(x)= x/(4x-3ln(x))

Solution

f (x) = \frac{x}{4 x - 3 ln ( x )}

Solution

Domain : x > 0

Range : 0 < f (x) \leq \frac{e}{4 e - 3}

Intercepts : None

Asymptotes : Horizontal y = \frac{1}{4}

Extreme Points : Maximum (e, \frac{e}{4 e - 3})

+1

Interval Notation

Domain : (0, \infty)

Range : (0, \frac{e}{4 e - 3}]

Solution steps

Domain of

\frac{x}{4 x - 3 ln ( x )} : x > 0

Range of

\frac{x}{4 x - 3 ln ( x )} : 0 < f (x) \leq \frac{e}{4 e - 3}

Axis interception points of

\frac{x}{4 x - 3 ln ( x )} :

None

Asymptotes of

\frac{x}{4 x - 3 ln ( x )} :

Horizontal

: y = \frac{1}{4}

Extreme Points of

\frac{x}{4 x - 3 ln ( x )} :

Maximum

(e, \frac{e}{4 e - 3})

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)= x/(4x-3ln(x)) ?
The f(x)= x/(4x-3ln(x)) is