What is the domain of f(x)=(1955)/(2-|x-1|-|x-3|) ?

The domain of f(x)=(1955)/(2-|x-1|-|x-3|) is x 3

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domain of f(x)=(1955)/(2-|x-1|-|x-3|)

domain

f (x) = \frac{1955}{2 - ∣ x - 1 ∣ - ∣ x - 3 ∣}

x < 1 or x > 3

Interval Notation

(- \infty, 1) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

1 \leq x \leq 3

Exclude undefined points from the domain

x < 1 or x > 3

What is the domain of f(x)=(1955)/(2-|x-1|-|x-3|) ?
The domain of f(x)=(1955)/(2-|x-1|-|x-3|) is x<1\lor x>3