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

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

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

domain

f (x) = ∣ 2 x ∣ - 2

x \leq - 1 or x \geq 1

Interval Notation

(- \infty, - 1] \cup [1, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 1 or x \geq 1

The function domain

x \leq - 1 or x \geq 1

- x^{2} + 2 x

6 t^{2} + 500 t + 800

5 2 x + 6

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

f (x) = \frac{6}{x ^{2} + 1}

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