What is the domain of f(x)=sqrt(9-x^2)-sqrt(x+1) ?

The domain of f(x)=sqrt(9-x^2)-sqrt(x+1) is -1<= x<= 3

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domain of f(x)=sqrt(9-x^2)-sqrt(x+1)

domain

f (x) = 9 - x^{2} - x + 1

- 1 \leq x \leq 3

Solution steps

Find non-negative values for radicals:

- 1 \leq x \leq 3

The function domain

- 1 \leq x \leq 3

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

\frac{x ^{2}}{x ^{2} - 16}

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

f (x) = ln (3 x + 2)

(14, - 2), (7, - 8)

What is the domain of f(x)=sqrt(9-x^2)-sqrt(x+1) ?
The domain of f(x)=sqrt(9-x^2)-sqrt(x+1) is -1<= x<= 3