What is the domain of f(x)= x/(|x+2|-8) ?

The domain of f(x)= x/(|x+2|-8) is x 6

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domain of f(x)= x/(|x+2|-8)

domain

f (x) = \frac{x}{∣ x + 2 ∣ - 8}

x < - 10 or - 10 < x < 6 or x > 6

Interval Notation

(- \infty, - 10) \cup (- 10, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = - 10, x = 6

The function domain

x < - 10 or - 10 < x < 6 or x > 6

f (x) = \frac{1}{ln ( x )}

f (x) = 2 sin (3 x - π)

f (x) = \frac{4}{x} - 2

f (x) = \frac{( - x - 1 )}{x + 3}

(0, 0.093), (3071, 0.262)

What is the domain of f(x)= x/(|x+2|-8) ?
The domain of f(x)= x/(|x+2|-8) is x<-10\lor-10<x<6\lor x>6