Prove that a function f: [0, ∞) → [−𝟓, ∞) defined as f(x) = 4𝒙𝟑 + 𝟒𝒙 −

Prove that a function f: [0, ∞) → [−𝟓, ∞) defined as f(x) = 4𝒙
𝟑 + 𝟒𝒙 − 𝟓
is both one- one and onto.