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Popular >

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

Solution

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

Solution

Domain : x > 0

Range : f (x) \geq \frac{4 e - 3}{e}

Intercepts : None

Asymptotes : Vertical x = 0, Horizontal y = 4

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

+1

Interval Notation

Domain : (0, \infty)

Range : [\frac{4 e - 3}{e}, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 4

Extreme Points of

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

Minimum

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

Popular Examples

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f (x) = lo g_{10} (x - 1) + 1

f(x)=sqrt((2-x)/x)

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

y = (x^{2} - 1)^{2}

f (x) = e^{x} - 3 x

f(x)=(-11x+1)/(-30x^2-25x+5)

f (x) = \frac{- 11 x + 1}{- 30 x ^{2} - 25 x + 5}

Frequently Asked Questions (FAQ)

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