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Popular >

f(x)=(3x-ln(5x))/x

Solution

f (x) = \frac{3 x - ln ( 5 x )}{x}

Solution

Domain : x > 0

Range : f (x) \geq \frac{3 e - 5}{e}

Intercepts : None

Asymptotes : Vertical x = 0, Horizontal y = 3

Extreme Points : Minimum (\frac{e}{5}, \frac{3 e - 5}{e})

+1

Interval Notation

Domain : (0, \infty)

Range : [\frac{3 e - 5}{e}, \infty)

Solution steps

Domain of

\frac{3 x - ln ( 5 x )}{x} : x > 0

Range of

\frac{3 x - ln ( 5 x )}{x} : f (x) \geq \frac{3 e - 5}{e}

Axis interception points of

\frac{3 x - ln ( 5 x )}{x} :

None

Asymptotes of

\frac{3 x - ln ( 5 x )}{x} :

Vertical

: x = 0,

Horizontal

: y = 3

Extreme Points of

\frac{3 x - ln ( 5 x )}{x} :

Minimum

(\frac{e}{5}, \frac{3 e - 5}{e})

Popular Examples

f(x)=ln(x^3-2x+1)

f (x) = ln (x^{3} - 2 x + 1)

g (x) = \frac{1}{4} x^{2}

f(x)=(12x^2-10x+2)/x

f (x) = \frac{12 x ^{2} - 10 x + 2}{x}

f (x) = - \frac{2}{x - 3}

y = 25 - 5 x

Frequently Asked Questions (FAQ)

What is the f(x)=(3x-ln(5x))/x ?
The f(x)=(3x-ln(5x))/x is