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

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

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

domain

f (x) = \frac{1}{5 + x}

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

f (x) = \frac{3}{x - 4} - 1

f (x) = \frac{3 x ^{2} + x}{x ^{2} + 4}

11 lo g_{10} (x)

f (x) = \frac{x + 11}{x ^{2} - 121}

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

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