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

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

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

domain

f (x) = \frac{3}{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

in t erce pt s \frac{( x + 6 ) ( x - 1 )}{( x - 1 ) ( x - 6 )}

d o main f (x) = arcsin (x)

e x t re m e g (x) = - 2 x^{4} + 8 x^{2} - 6

r an g e \frac{4 x ^{3} - 3 x ^{2} + 2 + x}{x ( 2 x ^{2} - 3 x + 1 )}

d o main \frac{( x - 6 )}{x + 6}

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