What is the domain of (x-4)/(sqrt(x+2)) ?

The domain of (x-4)/(sqrt(x+2)) is x>-2

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domain of (x-4)/(sqrt(x+2))

domain

\frac{x - 4}{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

f (x) = lo g_{10} (3) (x)

f (x) = \frac{x + 2}{x ^{2} - 16}

f (x) = \frac{1}{lo g _{10} ( x ) - 7}

f (x) = 5 x^{4} - 4 x^{3} + 2 x^{2} - 10 x + 8

f (x) = (x - 5) (x^{2} - 10 x - 50)

What is the domain of (x-4)/(sqrt(x+2)) ?
The domain of (x-4)/(sqrt(x+2)) is x>-2