What is the domain of sqrt((|x|-2)/(2x+2)) ?

The domain of sqrt((|x|-2)/(2x+2)) is -2 = 2

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domain of sqrt((|x|-2)/(2x+2))

domain

\frac{∣ x ∣ - 2}{2 x + 2}

- 2 \leq x < - 1 or x \geq 2

Solution steps

Find non-negative values for radicals:

- 2 \leq x < - 1 or x \geq 2

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

- 2 \leq x < - 1 or x \geq 2

x = - 7

f (x) = 4 x^{2} - 4 x

y = 3 x - 2, (- 9, 5)

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

f (x) = x^{5} + x^{4}

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