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

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

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

domain

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

- 2 < x \leq 1

Interval Notation

(- 2, 1]

Solution steps

Find non-negative values for radicals:

- 2 < x \leq 1

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

- 2 < x \leq 1

\frac{2 x}{9 x - 1}

f (x) = - x^{2} + 6 x - 4, 1 < x < 8

f (x) = 2 - ln (x)

y = x^{4} + x^{3} + 4 x^{2} + 4 x

f (x) = tan (6 x - 4)

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