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

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

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

domain

f (x) = \frac{∣ x - 2 ∣}{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

y = ln (x + 2)

y = ln (9 - x^{2})

\frac{1}{1 + e ^{- x}}

\frac{x + 3}{x ^{2} - 3 x - 10}

\frac{3 x ^{2}}{x ^{2} - 25}

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