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

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

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

domain

f (x) = \frac{1}{∣ 2 - x ∣}

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) = \frac{- 4}{x - 2}

f (x) = 6 x + 12

x^{2} + 9 x

f (x) = \frac{( 5 x + 4 )}{x ^{2} + 3 x + 2}

y = \frac{3}{5} x + 9

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