What is the domain of f(x)= 2/(x-4)+1/(x+2) ?

The domain of f(x)= 2/(x-4)+1/(x+2) is x 4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of f(x)= 2/(x-4)+1/(x+2)

domain

f (x) = \frac{2}{x - 4} + \frac{1}{x + 2}

x < - 2 or - 2 < x < 4 or x > 4

Interval Notation

(- \infty, - 2) \cup (- 2, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 2

The function domain

x < - 2 or - 2 < x < 4 or x > 4

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

f (x) = \frac{3}{x + 2} + 1

f (x) = (\frac{2}{x + 1}) (\frac{x}{x + 1})

f (x) = 3 x + 15

f (x) = 2 x^{2}

What is the domain of f(x)= 2/(x-4)+1/(x+2) ?
The domain of f(x)= 2/(x-4)+1/(x+2) is x<-2\lor-2<x<4\lor x>4