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

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) = \frac{lo g _{10} ( x )}{x}

f (x) = \frac{6 x}{x ^{2} - 1}

cos (2 x + 5), 0 \leq x \leq 2 π

f (x) = \frac{100 - x ^{2}}{x ^{2} + 4 x - 21}

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