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

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

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

domain

f (x) = 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

- 2 (x - 3)^{3}

x^{2} - 4 x

\frac{7 x ^{3} - x ^{2} + 6}{3 x ^{3} + 24}

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

(- 3, - 1), (2, 3)

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