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Popular Functions >

y=(e^x)/(x-1)

Solution

y = \frac{e ^{x}}{x - 1}

Solution

Domain : x < 1 or x > 1

Range : f (x) < 0 or f (x) \geq e^{2}

Y Intercepts : (0, - 1)

Asymptotes : Vertical x = 1, Horizontal y = 0

Extreme Points : Minimum (2, e^{2})

+1

Interval Notation

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

Range : (- \infty, 0) \cup [e^{2}, \infty)

Solution steps

Domain of

\frac{e ^{x}}{x - 1} : x < 1 or x > 1

Range of

\frac{e ^{x}}{x - 1} : f (x) < 0 or f (x) \geq e^{2}

Axis interception points of

\frac{e ^{x}}{x - 1} :

Y Intercepts

: (0, - 1)

Asymptotes of

\frac{e ^{x}}{x - 1} :

Vertical

: x = 1,

Horizontal

: y = 0

Extreme Points of

\frac{e ^{x}}{x - 1} :

Minimum

(2, e^{2})

Graph

Popular Examples

f(x)=(x^4-x^3-8)/(x^2-x-6)

f(x)=(x+x^{1/2})^{1/2}

y=(x^4-1)(x^2+1)

f(x)=(6x+13)/(-4x+2)

domain of (2x+10)/(sqrt(x+7)-\sqrt{2)},x>0

Frequently Asked Questions (FAQ)

What is the y=(e^x)/(x-1) ?
The y=(e^x)/(x-1) is