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

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

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domain of y=(sqrt(x-4))/(x+4)

domain

y = \frac{x - 4}{x + 4}

x \geq 4

Interval Notation

[4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = - 4

Combine real regions and undefined points for final function domain

x \geq 4

lo g_{10} (\frac{2}{3}) (x + 2) - 4

f (x) = \frac{3 x - 2}{x ^{2} + x - 12}

f (x) = \frac{8}{x - 9}

f (x) = \frac{8 x + 5}{2 x - 5}

f (x) = - 2 x^{2} + 12 x + 4

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