Find the inverse function of the function f(x)=4x2\displaystyle {f{{\left({x}\right)}}}=-{4}{x}^{{2}} if x0\displaystyle {x}\ge{0} .

f1(x)=\displaystyle {{f}^{{-{{1}}}}{\left({x}\right)}}=   where   (give the domain of the inverse function in this second answer box)