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Popular >

f(x)=(log_{10}(x))/x

Solution

f (x) = \frac{lo g _{10} ( x )}{x}

Solution

Domain : x > 0

Range : f (x) \leq \frac{lo g _{10} ( e )}{e}

X Intercepts : (1, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Maximum (e, \frac{lo g _{10} ( e )}{e})

+1

Interval Notation

Domain : (0, \infty)

Range : (- \infty, \frac{lo g _{10} ( e )}{e}]

Solution steps

Domain of

\frac{lo g _{10} ( x )}{x} : x > 0

Range of

\frac{lo g _{10} ( x )}{x} : f (x) \leq \frac{lo g _{10} ( e )}{e}

Axis interception points of

\frac{lo g _{10} ( x )}{x} :

X Intercepts

: (1, 0)

Asymptotes of

\frac{lo g _{10} ( x )}{x} :

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{lo g _{10} ( x )}{x} :

Maximum

(e, \frac{lo g _{10} ( e )}{e})

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Frequently Asked Questions (FAQ)

What is the f(x)=(log_{10}(x))/x ?
The f(x)=(log_{10}(x))/x is