What is the domain of f(x)=(sqrt(3+x))/(7-x) ?

The domain of f(x)=(sqrt(3+x))/(7-x) is -3 7

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(3+x))/(7-x)

domain

f (x) = \frac{3 + x}{7 - x}

- 3 \leq x < 7 or x > 7

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 3

Find undefined (singularity) points:

x = 7

Combine real regions and undefined points for final function domain

- 3 \leq x < 7 or x > 7

f (x) = 7 x - 5 x^{2}

36 - x^{2} + x + 2

x^{3} - 1

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

2 y = 5

What is the domain of f(x)=(sqrt(3+x))/(7-x) ?
The domain of f(x)=(sqrt(3+x))/(7-x) is -3<= x<7\lor x>7