What is the domain of f(x)=sqrt(x+4)+sqrt(1-x) ?

The domain of f(x)=sqrt(x+4)+sqrt(1-x) is -4<= x<= 1

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domain of f(x)=sqrt(x+4)+sqrt(1-x)

domain

f (x) = x + 4 + 1 - x

- 4 \leq x \leq 1

Interval Notation

[- 4, 1]

Solution steps

Find non-negative values for radicals:

- 4 \leq x \leq 1

The function domain

- 4 \leq x \leq 1

f (x) = \frac{6 x - 2}{3 x + 9}

\frac{x ^{2} - 25}{x + 3}

cos (x + π)

f (x) = \frac{5}{x ^{3} + 10 x ^{2} + 9 x}

f (x) = 2 (x - 3)^{2} - 3

What is the domain of f(x)=sqrt(x+4)+sqrt(1-x) ?
The domain of f(x)=sqrt(x+4)+sqrt(1-x) is -4<= x<= 1