What is the domain of f(x)=(sqrt(5-x))/(x+6) ?

The domain of f(x)=(sqrt(5-x))/(x+6) is x<-6\lor-6<x<= 5

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(5-x))/(x+6)

domain

f (x) = \frac{5 - x}{x + 6}

x < - 6 or - 6 < x \leq 5

Interval Notation

(- \infty, - 6) \cup (- 6, 5]

Solution steps

Find non-negative values for radicals:

x \leq 5

Find undefined (singularity) points:

x = - 6

Combine real regions and undefined points for final function domain

x < - 6 or - 6 < x \leq 5

f (x) = sin (sin (x))

f (x) = 3 x^{2} - 4 x - 6

f (x) = x^{4} + 2 x^{3} - 2 x^{2} + 2

f (x) = - \frac{2}{3} (5)^{x - 4} + 7

What is the domain of f(x)=(sqrt(5-x))/(x+6) ?
The domain of f(x)=(sqrt(5-x))/(x+6) is x<-6\lor-6<x<= 5