What is the f(x)=ln(x-1/x) ?

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

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

Domain : - 1 < x < 0 or x > 1

Range : - \infty < f (x) < \infty

X Intercepts : (\frac{1 + 5}{2}, 0), (\frac{1 - 5}{2}, 0)

Asymptotes : Vertical x = - 1, x = 0, x = 1

Extreme Points : None

Interval Notation

Domain : (- 1, 0) \cup (1, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (\frac{1 + 5}{2}, 0), (\frac{1 - 5}{2}, 0)

Asymptotes of

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

Vertical

: x = - 1, x = 0, x = 1

Extreme Points of

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

None

\frac{\partial}{\partial y} (tan (3 x - 4 y))

\int (x - 1)^{n} d x

\int \frac{1}{- x ^{2} + 1} d x

\frac{d}{d x} (9 x ln (x))

2^{- x}