Question

How can you restrict the domain of the function f(x)=|x+4|-2 so the range of the inverse function f^-1(x),is [-4, )

Answer 1

The range of the inverse has to match the domain of the original function. We want to have $f^{-1}(x)$ map to $[-4,\infty)$, so we restrict the domain of $f(x)$ to this interval.