What is the domain of f(x)=(sqrt(-5-x))/(5-x) ?

The domain of f(x)=(sqrt(-5-x))/(5-x) is x<=-5

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domain of f(x)=(sqrt(-5-x))/(5-x)

domain

f (x) = \frac{- 5 - x}{5 - x}

x \leq - 5

Interval Notation

(- \infty, - 5]

Solution steps

Find non-negative values for radicals:

x \leq - 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

x \leq - 5

x^{2} + 8 x + 12

f (x) = 6 cos (3 x - \frac{π}{2})

4 x^{2} - 4 x - 6

sin (x)

e^{- 1.5 x^{2}}

What is the domain of f(x)=(sqrt(-5-x))/(5-x) ?
The domain of f(x)=(sqrt(-5-x))/(5-x) is x<=-5