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

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

domain

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

- 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

2 - x

y = 2 cos (x)

f (x) = - 4 (x + 10)^{2} + 6

f (x) = \frac{∣ x - 2 ∣ + ∣ x + 2 ∣}{x}

f (x) = ln (3 x + 7)

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