What is the domain of f(x)= 2/(sqrt(2+x)) ?

The domain of f(x)= 2/(sqrt(2+x)) is x>-2

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domain of f(x)= 2/(sqrt(2+x))

domain

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

x > - 2

Interval Notation

(- 2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 2

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x > - 2

f (x) = 1 0^{x}

f (x) = 2 x (4 x^{2} + 3)^{\frac{1}{2}}

(1) (5.4)

f (x) = 5 x^{2}

y = 9 x^{2} + 6 x + 1

What is the domain of f(x)= 2/(sqrt(2+x)) ?
The domain of f(x)= 2/(sqrt(2+x)) is x>-2