What is the domain of f(x)=sqrt(x)+sqrt(3-x) ?

The domain of f(x)=sqrt(x)+sqrt(3-x) is 0<= x<= 3

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domain of f(x)=sqrt(x)+sqrt(3-x)

domain

f (x) = x + 3 - x

0 \leq x \leq 3

Interval Notation

[0, 3]

Solution steps

Find non-negative values for radicals:

0 \leq x \leq 3

The function domain

0 \leq x \leq 3

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

f (x) = \frac{1}{6} x - 5

f (x) = x - 1 + 5

\frac{6 x}{7 x - 3}

(0, 14), (12.07, 0)

What is the domain of f(x)=sqrt(x)+sqrt(3-x) ?
The domain of f(x)=sqrt(x)+sqrt(3-x) is 0<= x<= 3