What is the domain of f(x)=sqrt((((x-2))/(x+3))) ?

The domain of f(x)=sqrt((((x-2))/(x+3))) is x = 2

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domain of f(x)=sqrt((((x-2))/(x+3)))

domain

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

x < - 3 or x \geq 2

Solution steps

Find non-negative values for radicals:

x < - 3 or x \geq 2

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

x < - 3 or x \geq 2

f (x) = \frac{2 x + 9}{x ^{2}}

f (x) = x^{2} - 25

y = 3

\frac{2 x ^{2} - 8}{x ^{2} + x - 2}

\frac{x ^{2} + 30 x - 99}{x - 3}

What is the domain of f(x)=sqrt((((x-2))/(x+3))) ?
The domain of f(x)=sqrt((((x-2))/(x+3))) is x<-3\lor x>= 2