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Popular >

f(x)=(3-(log_{2}(x))x)

Solution

f (x) = (3 - (lo g_{2} (x)) x)

Solution

Domain : x > 0

Range : f (x) \leq 3 - \frac{lo g _{2} ( \frac{1}{2 ^{\frac{1}{l n ( 2 )}}} )}{2 ^{\frac{1}{l n ( 2 )}}}

Intercepts : None

Asymptotes : None

Extreme Points : Maximum \frac{1}{2 ^{\frac{1}{l n ( 2 )}}}, 3 - \frac{lo g _{2} ( \frac{1}{2 ^{\frac{1}{l n ( 2 )}}} )}{2 ^{\frac{1}{l n ( 2 )}}}

+1

Interval Notation

Domain : (0, \infty)

Range : - \infty, 3 - \frac{lo g _{2} ( \frac{1}{2 ^{\frac{1}{l n ( 2 )}}} )}{2 ^{\frac{1}{l n ( 2 )}}}

Solution steps

Domain of

3 - lo g_{2} (x) x : x > 0

Range of

3 - lo g_{2} (x) x : f (x) \leq 3 - \frac{lo g _{2} ( \frac{1}{2 ^{\frac{1}{l n ( 2 )}}} )}{2 ^{\frac{1}{l n ( 2 )}}}

Axis interception points of

3 - lo g_{2} (x) x :

None

Asymptotes of

3 - lo g_{2} (x) x :

None

Extreme Points of

3 - lo g_{2} (x) x :

Maximum

\frac{1}{2 ^{\frac{1}{l n ( 2 )}}}, 3 - \frac{lo g _{2} ( \frac{1}{2 ^{\frac{1}{l n ( 2 )}}} )}{2 ^{\frac{1}{l n ( 2 )}}}

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Frequently Asked Questions (FAQ)

What is the f(x)=(3-(log_{2}(x))x) ?
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