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

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

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

domain

f (x) = x - 2 + \frac{1}{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{5 x - 4}{9 x + 8}

f (x) = 55 x - \frac{4 x ^{2}}{3}

3 \cdot x - 4

f (x) = - 2 x^{3} + 8 x + 3

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

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