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

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

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

domain

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

x < - 3 or x \geq 3

Interval Notation

(- \infty, - 3) \cup [3, \infty)

Solution steps

Find non-negative values for radicals:

x < - 3 or x \geq 3

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

x < - 3 or x \geq 3

f (x) = 3 cos (x + (\frac{( 1 )}{( 2 )}))

f (t) = \frac{x - 5}{2 x + 4}

(4 x + 3) + (x - 9)

y = ∣ x - 1 ∣

y = \frac{x + 1}{x ^{2} - 9 x}

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