What is the domain of f(x)=sqrt(-x^2-17x-72) ?

The domain of f(x)=sqrt(-x^2-17x-72) is -9<= x<=-8

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domain of f(x)=sqrt(-x^2-17x-72)

domain

f (x) = - x^{2} - 17 x - 72

- 9 \leq x \leq - 8

Interval Notation

[- 9, - 8]

Solution steps

Find non-negative values for radicals:

- 9 \leq x \leq - 8

The function domain

- 9 \leq x \leq - 8

f (x) = \frac{7 x}{x ( x ^{2} - 16 )}

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

f (x) = \frac{4 - x ^{2}}{5 - 3 x - 2 x ^{2}}

f (x) = \frac{1 - 5 x}{x + 5}

(0.0183, 0.1221), (0.293, 2.059)

What is the domain of f(x)=sqrt(-x^2-17x-72) ?
The domain of f(x)=sqrt(-x^2-17x-72) is -9<= x<=-8