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

Interval Notation

(- \infty, - 3) \cup [- 2, \infty)

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{4 x + 2}{x - 9}

f (x) = \frac{x ^{2} + 17}{x - 2}

f (x) = - 7 x + 5

f (x) = x + 6 - x

y = 2 ln (x - 1)

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