What is the domain of f(x)=sqrt(25-x^2)-sqrt(x+1) ?

The domain of f(x)=sqrt(25-x^2)-sqrt(x+1) is -1<= x<= 5

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domain of f(x)=sqrt(25-x^2)-sqrt(x+1)

domain

f (x) = 25 - x^{2} - x + 1

- 1 \leq x \leq 5

Interval Notation

[- 1, 5]

Solution steps

Find non-negative values for radicals:

- 1 \leq x \leq 5

The function domain

- 1 \leq x \leq 5

2 tan (\frac{π x}{2})

Y (x) - 5 = \frac{- 1}{2 ( \frac{x - 1}{2} )}

y = 2 x + 1

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

(1, - 3), (5, 7)

What is the domain of f(x)=sqrt(25-x^2)-sqrt(x+1) ?
The domain of f(x)=sqrt(25-x^2)-sqrt(x+1) is -1<= x<= 5