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

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

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

domain

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

x < 2 or x > 2

Interval Notation

(- \infty, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

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

{sin (x) : - 4 π < x < 0, 2 x : x \geq 0}

f (x) = lo g_{10} (x - 2)

f (x) = lo g_{10} (x^{2} - 4)

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

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