Question

Consider f: R ₊ → [4, ∞) given by f(x) = x² + 4. Show that f is invertible with the inverse f⁻¹ of given f by f⁻¹(y)=√y−4, where R₊ is the set of all non-negative real numbers.

Answer 1

Hence, f is invertible and the inverse of f is given byf^- 1(y)=g(y)=√y−4