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Popular Calculus >

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

Solution

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

Solution

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

+1

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

Graph

Popular Examples

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integral of e^{0.05x}

sum from n=1 to infinity of 11^nx^nn!

taylor 1/(1+x^3)

derivative of ((11ln(x)))/((2x+4))

Frequently Asked Questions (FAQ)

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