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

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

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

domain

25 - x^{2} + x + 2

- 2 \leq x \leq 5

Interval Notation

[- 2, 5]

Solution steps

Find non-negative values for radicals:

- 2 \leq x \leq 5

The function domain

- 2 \leq x \leq 5

f (x) = 2 x^{3} - 30 x^{2} + 144 x + 8

f (x) = \frac{6 x ^{2}}{x - 6}

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

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

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