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

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

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domain of f(x)=sqrt((4+x)(4-x)(x+2))

domain

f (x) = (4 + x) (4 - x) (x + 2)

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

15 x + 3 y = - 135

4 y = 7 x + 4

f (x) = tan (2 x)

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

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

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