What is the domain of f(x)=sqrt(x+5)-sqrt(5-x) ?

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

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domain of f(x)=sqrt(x+5)-sqrt(5-x)

domain

f (x) = x + 5 - 5 - x

- 5 \leq x \leq 5

Interval Notation

[- 5, 5]

Solution steps

Find non-negative values for radicals:

- 5 \leq x \leq 5

The function domain

- 5 \leq x \leq 5

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

f (x) = 2 \cdot π \cdot x^{2} + 12 \cdot π \cdot x

f (x) = \frac{2 \cdot x - 3}{( x - 5 ) \cdot ( x + 5 )}

\frac{2 x}{x - 4} - \frac{x}{x + 5}

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

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