What is the domain of f(x)= x/(ln(-x-2)) ?

The domain of f(x)= x/(ln(-x-2)) is x<-3\lor-3<x<-2

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domain of f(x)= x/(ln(-x-2))

domain

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

x < - 3 or - 3 < x < - 2

Interval Notation

(- \infty, - 3) \cup (- 3, - 2)

Solution steps

Find positive values for logs:

x < - 2

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

x < - 3 or - 3 < x < - 2

f (x) = \frac{4 - x ^{2}}{x ( x ^{2} - 9 )}

f (x) = 2 x + 4 - 3

f (x) = 3 5 x^{3} + 40

f (x) = \frac{1 x ^{2} + 4}{x + 6}

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

What is the domain of f(x)= x/(ln(-x-2)) ?
The domain of f(x)= x/(ln(-x-2)) is x<-3\lor-3<x<-2