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Popular >

y= 1/(x*log_{10)(x)}

Solution

y = \frac{1}{x \cdot lo g _{10} ( x )}

Solution

Domain : 0 < x < 1 or x > 1

Range : f (x) \leq - \frac{e}{lo g _{10} ( e )} or f (x) > 0

Intercepts : None

Asymptotes : Vertical x = 0, x = 1, Horizontal y = 0

Extreme Points : Maximum (\frac{1}{e}, - \frac{e}{lo g _{10} ( e )})

+1

Interval Notation

Domain : (0, 1) \cup (1, \infty)

Range : (- \infty, - \frac{e}{lo g _{10} ( e )}] \cup (0, \infty)

Solution steps

Domain of

\frac{1}{x \cdot lo g _{10} ( x )} : 0 < x < 1 or x > 1

Range of

\frac{1}{x \cdot lo g _{10} ( x )} : f (x) \leq - \frac{e}{lo g _{10} ( e )} or f (x) > 0

Axis interception points of

\frac{1}{x \cdot lo g _{10} ( x )} :

None

Asymptotes of

\frac{1}{x \cdot lo g _{10} ( x )} :

Vertical

: x = 0, x = 1,

Horizontal

: y = 0

Extreme Points of

\frac{1}{x \cdot lo g _{10} ( x )} :

Maximum

(\frac{1}{e}, - \frac{e}{lo g _{10} ( e )})

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Frequently Asked Questions (FAQ)

What is the y= 1/(x*log_{10)(x)} ?
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