What is the domain of f(x)=(3x-5e^x)/(x^2(x+4)) ?

The domain of f(x)=(3x-5e^x)/(x^2(x+4)) is x 0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of f(x)=(3x-5e^x)/(x^2(x+4))

domain

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

x < - 4 or - 4 < x < 0 or x > 0

Interval Notation

(- \infty, - 4) \cup (- 4, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 4

The function domain

x < - 4 or - 4 < x < 0 or x > 0

What is the domain of f(x)=(3x-5e^x)/(x^2(x+4)) ?
The domain of f(x)=(3x-5e^x)/(x^2(x+4)) is x<-4\lor-4<x<0\lor x>0