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Popular >

f(x)=(2x^2)/(ln|x|-2)

Solution

f (x) = \frac{2 x ^{2}}{ln ∣ x ∣ - 2}

Solution

Domain : x < - e^{2} or - e^{2} < x < 0 or 0 < x < e^{2} or x > e^{2}

Range : f (x) < 0 or f (x) \geq 4 e^{5}

Intercepts : None

Asymptotes : Vertical x = - e^{2}, x = e^{2}

Extreme Points : Minimum (- e^{\frac{5}{2}}, 4 e^{5}), Minimum (e^{\frac{5}{2}}, 4 e^{5})

+1

Solution steps

Domain of

\frac{2 x ^{2}}{ln ∣ x ∣ - 2} : x < - e^{2} or - e^{2} < x < 0 or 0 < x < e^{2} or x > e^{2}

Range of

\frac{2 x ^{2}}{ln ∣ x ∣ - 2} : f (x) < 0 or f (x) \geq 4 e^{5}

Axis interception points of

\frac{2 x ^{2}}{ln ∣ x ∣ - 2} :

None

Asymptotes of

\frac{2 x ^{2}}{ln ∣ x ∣ - 2} :

Vertical

: x = - e^{2}, x = e^{2}

Extreme Points of

\frac{2 x ^{2}}{ln ∣ x ∣ - 2} :

Minimum

(- e^{\frac{5}{2}}, 4 e^{5}),

Minimum

(e^{\frac{5}{2}}, 4 e^{5})

Popular Examples

f (x) = cos (x + 2)

f (m) = 3 m - 5

f (m) = 3 m + 7

y=sqrt(ln(1-x^2)+2)

y = ln (1 - x^{2}) + 2

y = 36 x

Frequently Asked Questions (FAQ)

What is the f(x)=(2x^2)/(ln|x|-2) ?
The f(x)=(2x^2)/(ln|x|-2) is