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Popular >

f(x)=(ln(1-x))/(x-1)

Solution

f (x) = \frac{ln ( 1 - x )}{x - 1}

Solution

Domain : x < 1

Range : f (x) \geq - \frac{1}{e}

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = 1, Horizontal y = 0

Extreme Points : Minimum (- e + 1, - \frac{1}{e})

+1

Solution steps

Domain of

\frac{ln ( 1 - x )}{x - 1} : x < 1

Range of

\frac{ln ( 1 - x )}{x - 1} : f (x) \geq - \frac{1}{e}

Axis interception points of

\frac{ln ( 1 - x )}{x - 1} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{ln ( 1 - x )}{x - 1} :

Vertical

: x = 1,

Horizontal

: y = 0

Extreme Points of

\frac{ln ( 1 - x )}{x - 1} :

Minimum

(- e + 1, - \frac{1}{e})

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Frequently Asked Questions (FAQ)

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