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

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

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

domain

f (x) = ∣ x - 2 ∣ + ∣ 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) = \frac{- 5 x - 7}{4 - x}

f (x) = 3 x^{2} + 6 x - 2

f (x) = ln (6 x)

f (x) = ln (x^{2} + 49)

f (x) = 3 x^{2} + 6 x + 8

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