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

\frac{1}{x - 9}

f (x) = \frac{x - 5}{x ^{2} + 10 x + 25}

y = x - 4

f (x) = \frac{1}{( x - 8 ) ^{2}}

f (x) = x^{3} + 10

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