What is the domain of 4/x-6/(x+6) ?

The domain of 4/x-6/(x+6) is x 0

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domain of 4/x-6/(x+6)

domain

\frac{4}{x} - \frac{6}{x + 6}

x < - 6 or - 6 < x < 0 or x > 0

Interval Notation

(- \infty, - 6) \cup (- 6, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 6

The function domain

x < - 6 or - 6 < x < 0 or x > 0

\frac{x - 1}{x + 3}

f (x) = x^{3} - 12 x^{2} + 36 x + 8

y = x + 9

- 2 sin (- 4 x + \frac{π}{2})

f (x) = 16 + 3 x

What is the domain of 4/x-6/(x+6) ?
The domain of 4/x-6/(x+6) is x<-6\lor-6<x<0\lor x>0