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

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

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

domain

f (x) = \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

x + 10 + 3

- cos^{2} (X)

y = x^{2} + 5

- 3 x - 2

x - 4 = 5, (0, 7)

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