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

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

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

domain

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

x < - 1 or x \geq 2

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x < - 1 or x \geq 2

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

x < - 1 or x \geq 2

(2.3) (6.4)

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

f (x) = \frac{x + 3}{x ^{2} - 49}

f (x) = - 5 x^{5} - 2 x^{3} + 4 x

f (x) = \frac{3 x - 2}{x + 5}

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