Find the Domain of f(x)=sqrt(x^3-4x+1)

The domain is the values of x where f(x) is defined. The square root requires the radicand to be ≥ 0.

So, x^3 - 4x + 1 ≥ 0

x ∈ [-2.1,0.24] ∪ [1.83,+∞)