What is the domain of f(x)=sqrt(-x^3-2x^2+16x+32) ?

The domain of f(x)=sqrt(-x^3-2x^2+16x+32) is x<=-4\lor-2<= x<= 4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of f(x)=sqrt(-x^3-2x^2+16x+32)

domain

f (x) = - x^{3} - 2 x^{2} + 16 x + 32

x \leq - 4 or - 2 \leq x \leq 4

Interval Notation

(- \infty, - 4] \cup [- 2, 4]

Solution steps

Find non-negative values for radicals:

x \leq - 4 or - 2 \leq x \leq 4

The function domain

x \leq - 4 or - 2 \leq x \leq 4

What is the domain of f(x)=sqrt(-x^3-2x^2+16x+32) ?
The domain of f(x)=sqrt(-x^3-2x^2+16x+32) is x<=-4\lor-2<= x<= 4