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

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

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

domain

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

- 1 < x \leq 1

Interval Notation

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 = - 16 - x^{2}

\frac{x ^{7} - 2}{x ^{2} - 3 x + 4}

f (x) = 4 x^{2} + 8

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

y = \frac{x ^{2} + 3}{x ^{2} + x}

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