What is the domain of f(x)=|x+2|+|2x-2|+|5-x| ?

The domain of f(x)=|x+2|+|2x-2|+|5-x| is -infinity <x<infinity

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domain of f(x)=|x+2|+|2x-2|+|5-x|

domain

f (x) = ∣ x + 2 ∣ + ∣ 2 x - 2 ∣ + ∣ 5 - x ∣

- \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{1}{11 - t}

f (x) = \frac{1}{4 x + 8}

f (x) = \frac{x - 5}{x - 4}

x^{2} + x - 6 + 4

\frac{3 x ^{2} - 7 x - 6}{x - 3}

What is the domain of f(x)=|x+2|+|2x-2|+|5-x| ?
The domain of f(x)=|x+2|+|2x-2|+|5-x| is -infinity <x<infinity