What is the domain of f(x)=sqrt(-3x^2-27x-60) ?

The domain of f(x)=sqrt(-3x^2-27x-60) is -5<= x<=-4

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domain of f(x)=sqrt(-3x^2-27x-60)

domain

f (x) = - 3 x^{2} - 27 x - 60

- 5 \leq x \leq - 4

Interval Notation

[- 5, - 4]

Solution steps

Find non-negative values for radicals:

- 5 \leq x \leq - 4

The function domain

- 5 \leq x \leq - 4

f (x) = \frac{3 x}{8 ( x + 5 )}

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

f (x) = \frac{3 + x}{9 - x}

f (x) = \frac{7 x}{x ^{2} - 1}

f (x) = 9 (x - 4)^{\frac{5}{2}}

What is the domain of f(x)=sqrt(-3x^2-27x-60) ?
The domain of f(x)=sqrt(-3x^2-27x-60) is -5<= x<=-4