Question

Find the domain of
$\sqrt{3 + x \:} + \sqrt{3 - x} \\ x$
​

Answer 1

Answer:

[ 3 , - 3]

Step-by-step explanation:

For this function to exist, value under roots must be +ve or 0.

3 + x ≥ 0    and 3 - x ≥ 0

x ≥ - 3        and 3 ≥ x

Combining both cases, 3 ≥ x ≥ - 3.

It is where x lies. It means the domain of the function √3+x + √3-x is [3 , - 3]

Answer 2

See attachment

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hope it helps