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

f (x) = - x^{3} - 2 x^{2} + 36 x + 72

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

Interval Notation

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

- sin (x)

arcsin (sin (x))

f (x) = lo g_{3} (2 x - 5)

y = \frac{2}{3} + x

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

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