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Popular >

f(x)=(e^{x^2-3x})/(2x-3)

Solution

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

Solution

Domain : x < \frac{3}{2} or x > \frac{3}{2}

Y Intercepts : (0, - \frac{1}{3})

Asymptotes : Vertical x = \frac{3}{2}

Extreme Points : Maximum (\frac{3 - 2}{2}, - \frac{1}{2 e ^{\frac{7}{4}}}), Minimum (\frac{3 + 2}{2}, \frac{1}{2 e ^{\frac{7}{4}}})

+1

Interval Notation

Domain : (- \infty, \frac{3}{2}) \cup (\frac{3}{2}, \infty)

Solution steps

Domain of

\frac{e ^{x^{2} - 3 x}}{2 x - 3} : x < \frac{3}{2} or x > \frac{3}{2}

Axis interception points of

\frac{e ^{x^{2} - 3 x}}{2 x - 3} :

Y Intercepts

: (0, - \frac{1}{3})

Asymptotes of

\frac{e ^{x^{2} - 3 x}}{2 x - 3} :

Vertical

: x = \frac{3}{2}

Extreme Points of

\frac{e ^{x^{2} - 3 x}}{2 x - 3} :

Maximum

(\frac{3 - 2}{2}, - \frac{1}{2 e ^{\frac{7}{4}}}),

Minimum

(\frac{3 + 2}{2}, \frac{1}{2 e ^{\frac{7}{4}}})

Popular Examples

y = x + 20

y = - x^{2} - 4 x - 1

f (x) = - 2 (\frac{1}{2})^{x}

y=cos(x)+sin(x)

y = cos (x) + sin (x)

f(x)=(2x+3)/(3x-2)

f (x) = \frac{2 x + 3}{3 x - 2}

Frequently Asked Questions (FAQ)

What is the f(x)=(e^{x^2-3x})/(2x-3) ?
The f(x)=(e^{x^2-3x})/(2x-3) is