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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

domain

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

- 1 \leq x < 1

Interval Notation

[- 1, 1)

Solution steps

Find non-negative values for radicals:

- 1 \leq x \leq 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

- 1 \leq x < 1

f (x) = 3 - x^{2}

f (x) = \frac{x ^{2} - 2 x - 15}{x ^{2} + 3 x}

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

f (x) = x + 8 - \frac{5 - x}{x}

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

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