What is the domain of f(x)=(x+6)/(sqrt(-2-x)) ?

The domain of f(x)=(x+6)/(sqrt(-2-x)) is x<-2

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domain of f(x)=(x+6)/(sqrt(-2-x))

domain

f (x) = \frac{x + 6}{- 2 - x}

x < - 2

Interval Notation

(- \infty, - 2)

Solution steps

Find non-negative values for radicals:

x \leq - 2

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x < - 2

- 2 x^{2} + 12 x - 14

f (x) = \frac{- 2 x + 35}{x ^{2} + 7 x}

\frac{0.9 e ^{x}}{tan ( x )}

f (x) = x^{2} + 7 x + 9

\frac{x + 1}{x ^{2} - x - 6}

What is the domain of f(x)=(x+6)/(sqrt(-2-x)) ?
The domain of f(x)=(x+6)/(sqrt(-2-x)) is x<-2