What is the domain of f(x)= x/(|x+4|-10) ?

The domain of f(x)= x/(|x+4|-10) is x 6

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domain of f(x)= x/(|x+4|-10)

domain

f (x) = \frac{x}{∣ x + 4 ∣ - 10}

x < - 14 or - 14 < x < 6 or x > 6

Interval Notation

(- \infty, - 14) \cup (- 14, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = - 14, x = 6

The function domain

x < - 14 or - 14 < x < 6 or x > 6

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

f (x) = 2020 + 2 - x

f (x) = 2 e^{\frac{x ^{2} - 1}{4 x}}

\frac{x + 1}{8 x - 9}

\frac{1}{3} (x - 4)^{2} + 2

What is the domain of f(x)= x/(|x+4|-10) ?
The domain of f(x)= x/(|x+4|-10) is x<-14\lor-14<x<6\lor x>6