What is the domain of f(x)=sqrt(2/(5+x)) ?

The domain of f(x)=sqrt(2/(5+x)) is x>-5

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domain of f(x)=sqrt(2/(5+x))

domain

f (x) = \frac{2}{5 + x}

x > - 5

Interval Notation

(- 5, \infty)

Solution steps

Find non-negative values for radicals:

x > - 5

Find undefined (singularity) points:

x = - 5

Combine real regions and undefined points for final function domain

x > - 5

\frac{x + 1}{x - 4}

f (x) = (3 - 2 x)

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

f (x) = x^{3} - 6 x^{2} - 15 x + 4

y = 2 - x

What is the domain of f(x)=sqrt(2/(5+x)) ?
The domain of f(x)=sqrt(2/(5+x)) is x>-5