What is the domain of f(x)=(sqrt(x+4))/(1-x) ?

The domain of f(x)=(sqrt(x+4))/(1-x) is -4 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(x+4))/(1-x)

domain

f (x) = \frac{x + 4}{1 - x}

- 4 \leq x < 1 or x > 1

Interval Notation

[- 4, 1) \cup (1, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 4

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

- 4 \leq x < 1 or x > 1

f (x) = \frac{( x + 4 )}{x ^{2} - 9}

f (x) = 3 x^{2} + x - 1

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

f (x) = ln (x)

3 x - 10 = x + 30

What is the domain of f(x)=(sqrt(x+4))/(1-x) ?
The domain of f(x)=(sqrt(x+4))/(1-x) is -4<= x<1\lor x>1