What is the domain of f(x)=sqrt(-x^3-2x^2+36x+72) ?

The domain of f(x)=sqrt(-x^3-2x^2+36x+72) is x<=-6\lor-2<= x<= 6

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domain of f(x)=sqrt(-x^3-2x^2+36x+72)

domain

x \leq - 6 or - 2 \leq x \leq 6

Interval Notation

(- \infty, - 6] \cup [- 2, 6]

Solution steps

Find non-negative values for radicals:

x \leq - 6 or - 2 \leq x \leq 6

The function domain

x \leq - 6 or - 2 \leq x \leq 6

What is the domain of f(x)=sqrt(-x^3-2x^2+36x+72) ?
The domain of f(x)=sqrt(-x^3-2x^2+36x+72) is x<=-6\lor-2<= x<= 6