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

The domain of f(x)=(sqrt(1+x)-sqrt(1-x))/x is -1<= x<0\lor 0<x<= 1

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

domain

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

- 1 \leq x < 0 or 0 < x \leq 1

Interval Notation

[- 1, 0) \cup (0, 1]

Solution steps

Find non-negative values for radicals:

- 1 \leq x \leq 1

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 1 \leq x < 0 or 0 < x \leq 1

30 - x

f (x) = - 2 x^{2} + 8 x + 9

y = \frac{7 x - 8}{6 x + 5}

\frac{4 X - 12}{( X - 2 ) ^{2}}

x^{2} 4 - x

What is the domain of f(x)=(sqrt(1+x)-sqrt(1-x))/x ?
The domain of f(x)=(sqrt(1+x)-sqrt(1-x))/x is -1<= x<0\lor 0<x<= 1