What is the domain of ln(1/(x-1)+1) ?

The domain of ln(1/(x-1)+1) is x 1

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domain of ln(1/(x-1)+1)

domain

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

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 = 1

Combine real regions and undefined points for final function domain

x < 0 or x > 1

f (x) = \frac{x + 5}{x - 8}

(70.3) (90.2)

\frac{x - 1}{x ^{2}}

(0, 0), (4, 3)

tan (x)

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