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Popular Functions >

f(x)=(log_{10}(x))/(x^2)

Solution

f (x) = \frac{lo g _{10} ( x )}{x ^{2}}

Solution

Domain : x > 0

Range : f (x) \leq \frac{lo g _{10} ( e )}{2 e}

X Intercepts : (1, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Maximum (e, \frac{lo g _{10} ( e )}{2 e})

+1

Interval Notation

Domain : (0, \infty)

Range : (- \infty, \frac{lo g _{10} ( e )}{2 e}]

Solution steps

Domain of

\frac{lo g _{10} ( x )}{x ^{2}} : x > 0

Range of

\frac{lo g _{10} ( x )}{x ^{2}} : f (x) \leq \frac{lo g _{10} ( e )}{2 e}

Axis interception points of

\frac{lo g _{10} ( x )}{x ^{2}} :

X Intercepts

: (1, 0)

Asymptotes of

\frac{lo g _{10} ( x )}{x ^{2}} :

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{lo g _{10} ( x )}{x ^{2}} :

Maximum

(e, \frac{lo g _{10} ( e )}{2 e})

Graph

Popular Examples

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y= 1/((sqrt(2x)))

f(x)=|3x+6|-3|-x+7|

Frequently Asked Questions (FAQ)

What is the f(x)=(log_{10}(x))/(x^2) ?
The f(x)=(log_{10}(x))/(x^2) is