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

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

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

domain

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

x > - 3

Interval Notation

(- 3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 3

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

x > - 3

d i s t an ce (9, - 10), (9, 20)

e x t re m e f (x) = x 100 - x^{2}

in v erse f (x) = x^{5}

p a r i t y (1 + 5 x)^{x - 2}

a sy m pt o t es (\frac{1}{3})^{x}

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