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Popular Functions >

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

Solution

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

Solution

Domain : x > 0

Range : f (x) \geq 3 - 3 ln (3)

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

Asymptotes : Vertical x = 0

Extreme Points : Minimum (3, 3 - 3 ln (3))

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Interval Notation

Domain : (0, \infty)

Range : [3 - 3 ln (3), \infty)

Solution steps

Domain of

x - 3 ln (x) : x > 0

Range of

x - 3 ln (x) : f (x) \geq 3 - 3 ln (3)

Axis interception points of

x - 3 ln (x) :

X Intercepts

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

Asymptotes of

x - 3 ln (x) :

Vertical

: x = 0

Extreme Points of

x - 3 ln (x) :

Minimum

(3, 3 - 3 ln (3))

Graph

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Frequently Asked Questions (FAQ)

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