what is the domain of the inverse function f(x)= √(x^4 + 3, x ≥0 ?

Question

√(x^4 + 3), x ≥0

Answer 1

The domain of f is all of the reals.

If you're asking for the domain of f-inverse, that would the same as the range of f. And since f is continuous and heads off to infinity, that would simply be the set of all reals greater than or equal to the minimum value of f, namely the square root of 3.