What is the domain of f(x)=sqrt(-(x-6)(x+6)(x+3)) ?

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

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domain of f(x)=sqrt(-(x-6)(x+6)(x+3))

domain

f (x) = - (x - 6) (x + 6) (x + 3)

x \leq - 6 or - 3 \leq x \leq 6

Interval Notation

(- \infty, - 6] \cup [- 3, 6]

Solution steps

Find non-negative values for radicals:

x \leq - 6 or - 3 \leq x \leq 6

The function domain

x \leq - 6 or - 3 \leq x \leq 6

sec (2 x - 3 π)

f (x) = (x - 3) (2 x + 6) 7 x^{3}

- 2 x^{2} + 5 x - 6

f (x) = (4 x - 5) + (3 x + 2)

\frac{4 x - 3}{6 - 3 x}

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