What is the domain of 8/x-(10)/(x+10) ?

The domain of 8/x-(10)/(x+10) is x 0

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domain of 8/x-(10)/(x+10)

domain

\frac{8}{x} - \frac{10}{x + 10}

x < - 10 or - 10 < x < 0 or x > 0

Interval Notation

(- \infty, - 10) \cup (- 10, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 10

The function domain

x < - 10 or - 10 < x < 0 or x > 0

(- 2.4) (6.2)

2 x + 1

f (x) = x^{2}, - 2 \leq x \leq 5

(150, 149.2), (165, 163.5)

f (x) = \frac{1}{2} x - \frac{1}{10}

What is the domain of 8/x-(10)/(x+10) ?
The domain of 8/x-(10)/(x+10) is x<-10\lor-10<x<0\lor x>0