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

The domain of f(x)=sqrt((1-x)/(\sqrt{x+1))} is -1<x<= 1

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domain of f(x)=sqrt((1-x)/(\sqrt{x+1))}

domain

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

- 1 < x \leq 1

Interval Notation

(- 1, 1]

Solution steps

Find non-negative values for radicals:

- 1 < x \leq 1

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

- 1 < x \leq 1

y = \frac{x ^{2}}{4} - 1

f (x) = \frac{y ^{2}}{36} - \frac{x ^{2}}{25} = 1

y = \frac{5}{x - 2}

y = \frac{5}{x - 3}

\frac{1 x cos ( 2 x )}{2}

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