What is the domain of f(x)=(sqrt(x-2))/(x+6) ?

The domain of f(x)=(sqrt(x-2))/(x+6) is x>= 2

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domain of f(x)=(sqrt(x-2))/(x+6)

domain

f (x) = \frac{x - 2}{x + 6}

x \geq 2

Interval Notation

[2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = - 6

Combine real regions and undefined points for final function domain

x \geq 2

∣ 2 x + 1 ∣

\frac{x + 2}{x ^{2} - 4}

- 3 x - 12

- 2 x + 6

What is the domain of f(x)=(sqrt(x-2))/(x+6) ?
The domain of f(x)=(sqrt(x-2))/(x+6) is x>= 2