What is the domain of sqrt(25-x^2)*sqrt(x+3) ?

The domain of sqrt(25-x^2)*sqrt(x+3) is -3<= x<= 5

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domain of sqrt(25-x^2)*sqrt(x+3)

domain

25 - x^{2} \cdot x + 3

- 3 \leq x \leq 5

Interval Notation

[- 3, 5]

Solution steps

Find non-negative values for radicals:

- 3 \leq x \leq 5

The function domain

- 3 \leq x \leq 5

f (x) = (x^{2} + 5 x)

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

(6, 3), (- 6, - 9)

f (x) = 3 cos (\frac{π}{10} t)

f (x) = \frac{7}{x ^{3} - 1}

What is the domain of sqrt(25-x^2)*sqrt(x+3) ?
The domain of sqrt(25-x^2)*sqrt(x+3) is -3<= x<= 5