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

The domain of f(x)=|x|+|x-1|+|x-2| is -infinity <x<infinity

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

domain

f (x) = ∣ x ∣ + ∣ x - 1 ∣ + ∣ x - 2 ∣

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

f (x) = - 2 x + 8

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

f (x) = x + 10

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

g (x) = \frac{x + 4}{x ^{2} - 9}

What is the domain of f(x)=|x|+|x-1|+|x-2| ?
The domain of f(x)=|x|+|x-1|+|x-2| is -infinity <x<infinity