What is the domain of f(x)=x-2ln(1-1/x) ?

The domain of f(x)=x-2ln(1-1/x) is x 1

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domain of f(x)=x-2ln(1-1/x)

domain

f (x) = x - 2 ln (1 - \frac{1}{x})

x < 0 or x > 1

Interval Notation

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

Solution steps

Find positive values for logs:

x < 0 or x > 1

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or x > 1

7 x - 9

y = \frac{2}{3} x + 8

f (x) = x + 4

3 x^{4} - 4 x^{3}

ln (x) + 2

What is the domain of f(x)=x-2ln(1-1/x) ?
The domain of f(x)=x-2ln(1-1/x) is x<0\lor x>1