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

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

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

domain

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

- 1 < x \leq 2

Interval Notation

(- 1, 2]

Solution steps

Find non-negative values for radicals:

- 1 < x \leq 2

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

- 1 < x \leq 2

\frac{x}{x - 9}

\frac{5 x}{14 - x}

f (x) = 3 sin (4 x - π)

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

\frac{1}{x ^{4}}

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