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

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

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

domain

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

x < - 2 or x \geq 2

Interval Notation

(- \infty, - 2) \cup [2, \infty)

Solution steps

Find non-negative values for radicals:

x < - 2 or x \geq 2

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x < - 2 or x \geq 2

\frac{1}{x ^{2} - 5}

f (x) = lo g_{2} (x^{2} - 16)

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

f (x) = (x + 2)^{3} - 1

f (x) = \frac{5}{1 - e ^{1 - x^{2}}}

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