What is the domain of f(x)=(sqrt(7+x))/(8-x) ?

The domain of f(x)=(sqrt(7+x))/(8-x) is -7 8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of f(x)=(sqrt(7+x))/(8-x)

domain

f (x) = \frac{7 + x}{8 - x}

- 7 \leq x < 8 or x > 8

Interval Notation

[- 7, 8) \cup (8, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 7

Find undefined (singularity) points:

x = 8

Combine real regions and undefined points for final function domain

- 7 \leq x < 8 or x > 8

What is the domain of f(x)=(sqrt(7+x))/(8-x) ?
The domain of f(x)=(sqrt(7+x))/(8-x) is -7<= x<8\lor x>8