What is the domain of f(x)= 1/(sqrt(x+5)) ?

The domain of f(x)= 1/(sqrt(x+5)) is x>-5

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domain of f(x)= 1/(sqrt(x+5))

domain

f (x) = \frac{1}{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

(4.1) (- 2.3)

\frac{x}{25 x ^{2} + 1}

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

y = 330 x - 0.25 x^{3}

f (x) = \frac{x ^{2}}{x ^{2} - 13 x + 40}

What is the domain of f(x)= 1/(sqrt(x+5)) ?
The domain of f(x)= 1/(sqrt(x+5)) is x>-5