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Popular >

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

Solution

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

Solution

Domain : x > 0

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

Intercepts : None

Asymptotes : Horizontal y = \frac{1}{3}

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

+1

Interval Notation

Domain : (0, \infty)

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

None

Asymptotes of

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

Horizontal

: y = \frac{1}{3}

Extreme Points of

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

Maximum

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

Popular Examples

limit as x approaches 2 of (x^2-9)/(x-3)

x \to 2 lim (\frac{x ^{2} - 9}{x - 3})

tangent of p(θ)=sqrt(3θ)tangent of

p (θ) = 3 θ

x y^{^{'}} = \frac{y ^{2}}{x} + y

y^{^{'}} = 1 + (\frac{y}{x})

derivative of f(x)=sqrt(1+x^{256)}-1 derivative of

f (x) = 1 + x^{256} - 1

Frequently Asked Questions (FAQ)

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