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

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

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

domain

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

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

8 x + y = 3

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

f (x) = \frac{- 1}{2} (x + 3)

f (x) = - x + 5 - 2

f (x) = \frac{1}{3 - 2 x}

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