What is the domain of f(x)= 3/(sqrt(-3-x)) ?

The domain of f(x)= 3/(sqrt(-3-x)) is x<-3

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domain of f(x)= 3/(sqrt(-3-x))

domain

f (x) = \frac{3}{- 3 - x}

x < - 3

Interval Notation

(- \infty, - 3)

Solution steps

Find non-negative values for radicals:

x \leq - 3

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

x < - 3

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

2 x - 3 y + 4 x y - 7 = 0

f (x) = \frac{1}{2} x^{- \frac{2}{3}}

f (x) = (x - 1)^{2} - 4

f (x) = \frac{x + 1}{x ^{2} - 2 x - 15}

What is the domain of f(x)= 3/(sqrt(-3-x)) ?
The domain of f(x)= 3/(sqrt(-3-x)) is x<-3