What is the domain of f(x)=sqrt((x+1)/(x+2)) ?

The domain of f(x)=sqrt((x+1)/(x+2)) is x =-1

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domain of f(x)=sqrt((x+1)/(x+2))

domain

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

x < - 2 or x \geq - 1

Interval Notation

(- \infty, - 2) \cup [- 1, \infty)

Solution steps

Find non-negative values for radicals:

x < - 2 or x \geq - 1

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x < - 2 or x \geq - 1

y = \frac{1}{x - 3}

f (x) = x^{\frac{4}{3}} - x^{\frac{1}{3}}

\frac{x - 1}{5}

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

\frac{2 y - b}{y}

What is the domain of f(x)=sqrt((x+1)/(x+2)) ?
The domain of f(x)=sqrt((x+1)/(x+2)) is x<-2\lor x>=-1