Question

If `f(x) = sqrt(12+x)` and `g(x) = sqrt(12-x)`, what is the domain of `f+g`?

Answer 1

The domain of `f(x)` is `12+x>=0=>x>=-12` and the domain of `g(x)` is `12-x>=0=>12>=x`

Hence the domain of `f+g` is `[-12,12]`