What is the domain of f(x)=(3x-6)/(x^2-6) ?

The domain of f(x)=(3x-6)/(x^2-6) is x sqrt(6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of f(x)=(3x-6)/(x^2-6)

domain

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

x < - 6 or - 6 < x < 6 or x > 6

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 6, x = - 6

The function domain

x < - 6 or - 6 < x < 6 or x > 6

\frac{x + 2}{9 x + 4}

g (x) = 6 x - 2

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

y = e^{x} + x

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

What is the domain of f(x)=(3x-6)/(x^2-6) ?
The domain of f(x)=(3x-6)/(x^2-6) is x<-sqrt(6)\lor-sqrt(6)<x<sqrt(6)\lor x>sqrt(6)