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Popular >

y=(1-ln(x))/(1+ln(x))

Solution

y = \frac{1 - ln ( x )}{1 + ln ( x )}

Solution

Domain : 0 < x < \frac{1}{e} or x > \frac{1}{e}

Range : f (x) < - 1 or f (x) > - 1

X Intercepts : (e, 0)

Asymptotes : Vertical x = \frac{1}{e}, Horizontal y = - 1

Extreme Points : None

+1

Interval Notation

Domain : (0, \frac{1}{e}) \cup (\frac{1}{e}, \infty)

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

Solution steps

Domain of

\frac{1 - ln ( x )}{1 + ln ( x )} : 0 < x < \frac{1}{e} or x > \frac{1}{e}

Range of

\frac{1 - ln ( x )}{1 + ln ( x )} : f (x) < - 1 or f (x) > - 1

Axis interception points of

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

X Intercepts

: (e, 0)

Asymptotes of

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

Vertical

: x = \frac{1}{e},

Horizontal

: y = - 1

Extreme Points of

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

None

Popular Examples

y = - 2 (x + 1)^{2} + 3

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

f(x)=x^4-2x^3+x^2-8x-12

f (x) = x^{4} - 2 x^{3} + x^{2} - 8 x - 12

g (x) = 8

f (x) = 13 x^{3}

Frequently Asked Questions (FAQ)

What is the y=(1-ln(x))/(1+ln(x)) ?
The y=(1-ln(x))/(1+ln(x)) is