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

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

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

domain

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

x < 1 or x > 1

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 1

The function domain

x < 1 or x > 1

f (x) = \frac{2 x + 3}{5 - x}

\frac{- 2 x ^{3} + 9 x ^{2} - 27}{3 x ^{2} - 9}

f (x) = 4 x^{2} + 4 x + 1

f (x) = \frac{2}{x - 3}

\frac{3 x - 2}{3 x + 1}

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