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Popular >

f(x)= 1/(2e^2x-4e^x+3x)

Solution

f (x) = \frac{1}{2 e ^{2} x - 4 e ^{x} + 3 x}

Solution

Domain : x < - W_{0} (- \frac{4}{2 e ^{2} + 3}) or - W_{0} (- \frac{4}{2 e ^{2} + 3}) < x < - W_{- 1} (- \frac{4}{2 e ^{2} + 3}) or x > - W_{- 1} (- \frac{4}{2 e ^{2} + 3})

Y Intercepts : (0, - \frac{1}{4})

Asymptotes : Vertical x = - W_{0} (- \frac{4}{2 e ^{2} + 3}), x = - W_{- 1} (- \frac{4}{2 e ^{2} + 3})

Extreme Points : Minimum ln (\frac{2 e ^{2} + 3}{4}), \frac{1}{2 e ^{2} ln ( \frac{2 e ^{2} + 3}{4} ) - 2 e ^{2} - 3 + 3 ln ( \frac{2 e ^{2} + 3}{4} )}

+1

Solution steps

Domain of

\frac{1}{2 e ^{2} x - 4 e ^{x} + 3 x} : x < - W_{0} (- \frac{4}{2 e ^{2} + 3}) or - W_{0} (- \frac{4}{2 e ^{2} + 3}) < x < - W_{- 1} (- \frac{4}{2 e ^{2} + 3}) or x > - W_{- 1} (- \frac{4}{2 e ^{2} + 3})

Axis interception points of

\frac{1}{2 e ^{2} x - 4 e ^{x} + 3 x} :

Y Intercepts

: (0, - \frac{1}{4})

Asymptotes of

\frac{1}{2 e ^{2} x - 4 e ^{x} + 3 x} :

Vertical

: x = - W_{0} (- \frac{4}{2 e ^{2} + 3}), x = - W_{- 1} (- \frac{4}{2 e ^{2} + 3})

Extreme Points of

\frac{1}{2 e ^{2} x - 4 e ^{x} + 3 x} :

Minimum

ln (\frac{2 e ^{2} + 3}{4}), \frac{1}{2 e ^{2} ln ( \frac{2 e ^{2} + 3}{4} ) - 2 e ^{2} - 3 + 3 ln ( \frac{2 e ^{2} + 3}{4} )}

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Frequently Asked Questions (FAQ)

What is the f(x)= 1/(2e^2x-4e^x+3x) ?
The f(x)= 1/(2e^2x-4e^x+3x) is