What is the domain of f(x)=(3+x)/(sqrt(x+2)) ?

The domain of f(x)=(3+x)/(sqrt(x+2)) is x>-2

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domain of f(x)=(3+x)/(sqrt(x+2))

domain

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

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

(x, - 4), (- 4, - 1)

f (x) = \frac{18}{x}

f (x) = x^{2} - 16 - 3

f (x) = \frac{2 x - 3}{5}

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

What is the domain of f(x)=(3+x)/(sqrt(x+2)) ?
The domain of f(x)=(3+x)/(sqrt(x+2)) is x>-2