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

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

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

domain

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

x < 1

Interval Notation

(- \infty, 1)

Solution steps

Find positive values for logs:

x < 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x < 1

y = (x + 4)^{2} - \frac{5}{2}

y = \frac{1}{3} e^{x - 2} + 2

f (x) = 4 x - 5 + 1

f (x) = sin (3 t)

f (x) = - 2 (x - 3)^{2} + 7