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

The domain of sqrt(-x^3-x^2+16x+16) is x<=-4\lor-1<= x<= 4

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

domain

- x^{3} - x^{2} + 16 x + 16

x \leq - 4 or - 1 \leq x \leq 4

Interval Notation

(- \infty, - 4] \cup [- 1, 4]

Solution steps

Find non-negative values for radicals:

x \leq - 4 or - 1 \leq x \leq 4

The function domain

x \leq - 4 or - 1 \leq x \leq 4

f (x) = \frac{3 x ^{2} - 3}{2 x ^{2} + 7 x + 5}

f (x) = 3 x^{2} - 130 x + 1000

(- 2, - 8), (- 10, - 2)

f (x) = (x - 11)^{2}, x \leq 11

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

What is the domain of sqrt(-x^3-x^2+16x+16) ?
The domain of sqrt(-x^3-x^2+16x+16) is x<=-4\lor-1<= x<= 4