What is the domain of f(x)= 3/(sqrt(x+5)) ?

The domain of f(x)= 3/(sqrt(x+5)) is x>-5

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domain of f(x)= 3/(sqrt(x+5))

domain

f (x) = \frac{3}{x + 5}

x > - 5

Interval Notation

(- 5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 5

Find undefined (singularity) points:

x = - 5

Combine real regions and undefined points for final function domain

x > - 5

\frac{x ^{2} ( x + 1 )}{x + 1}

3 cos (π x) - 2

x^{2} - 4 x + 1

cos (2 x)

\frac{x - 4}{x - 2}

What is the domain of f(x)= 3/(sqrt(x+5)) ?
The domain of f(x)= 3/(sqrt(x+5)) is x>-5